Publications

Books

M. Nakahara and T. Ohmi,
*Quantum Computing: From Linear Algebra To Physical Realizations*,
CRC Press, Taylor & Francis (2008).

There are some figures in this book, which do not appear properly
due to an incompatibility between the electronic file and the printer.
You may download the correct figures here.

M. Nakahara,
*Geometry, Topology and Physics * (2nd ed),
IOP Publishing (2003) Bristol and New York. (The first edition was published in 1990).

M. Nakahara,
*Path Integrals and their Applications in Mathematics*, (in Japanese)
Lectures in Mathematical Sciences No. 15, Graduate School of Mathematical Sciences
(1998) University of Tokyo.

Book Chapters

V. Pietilä, M. Möttönen, and M. Nakahara,
*Topological vortex creation in spinor Bose-Einstein condensates*,
Electromagnetic, Magnetostatic, and Exchange-Interaction Vortices in Confined Magnetic Structures, edited by E. O. Kamenetskii, Transworld Research Network, 297-329 (2008).

R. Rahimi, K. Sato, D. Shiomi and T. Takui,
*Quantum Information Processing as Studied by Molecule-Based Pulsed ENDOR Spectroscopy*,
Modern Magnetic Resonance, edited by G. A. Webb, Springer-Verlag, Volume 1, 643-650 (2007).

M. Nakahara,
*Topological Vortex Formation in a Bose-Einstein Condensate*,
Topology in Ordered Phases, edited by S. Tanada, T. Matsuyama, M. Oda,
Y. Asano, and K. Yakubo, World Scientific, 219-226 (2005).

M. Nakahara, R. Rahimi, and A. SaiToh, Editors,
*Kinki University Series on Quantum Computing Vol.3:
Decoherence Suppression in Quantum Systems 2008*,
World Scientific Publishing (2010).

M. Nakahara, Y. Ota, R. Rahimi, Y. Kondo, and M. Tada-Umezaki, Editors,
*Kinki University Series on Quantum Computing Vol.2:
Molecular Realizations of Quantum Computing 2007*,
World Scientific Publishing (2009).

M. Nakahara, R. Rahimi, and A. SaiToh, Editors,
*Kinki University Series on Quantum Computing Vol.1:
Mathematical Aspects of Quantum Computiung 2007*,
World Scientific Publishing (2008).

M. Nakahara, S. Kanemitsu, M. M. Salomaa and S. Takagi, Editors,
*Physical Realizations of Quantum Computing: Are the Divincenzo Criteria Fulfilled in 2004? *, World Scientific Pub. Co. Inc. (2006) .

T. Aoki, S. Kanemitsu, M. Nakahara and Y. Ohno, Editors,
*Zeta Functions, Topology and Quantum Physics*, Springer Verlag (2005).

T. T. Heikkila, M. Nakahara and M. M. Salomaa, Editors,
*Quantum Computing: Physical Realizations*, TKK (2001) Espoo.

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C.-K. Li, M. Nakahara, Y.-T. Poon, N.-S. Sze, and H. Tomita, "Efficient quantum error correction for fully correlated noise", *Phys. Lett. A* **375**, 3255 (2011); arXiv: 1104.4705 (quant-ph).

E. H. Lapasar, K. Kasamatsu, Y. Kondo, M. Nakahara, and T. Ohmi, "Scalable Neutral Atom Quantum Computer with Interaction on Demand: Proposal for Selective Application of Two-Qubit Gate", *J. Phys. Soc. Jpn.* **80**, 114003 (2011); arXiv: 1101.4300 (quant-ph).

M. A. Fasihi, S. Tanaka, M. Nakahara, and Y. Kondo, "Hamiltonian Determination with Restricted Access in Transverse Field Ising Chain", *J. Phys. Soc. Jpn.* **80**, 044002 (2011); arXiv: 1012.2951 (quant-ph).

Y. Tanaka, T. Ichikawa, M. Tada-Umezaki, Y. Ota, and M. Nakahara, "Quantum Oracles in Terms of Universal Gate Set", *Int. J. Quant. Inf.* **9**, 1363 (2011); arXiv: 1008.4643 (quant-ph).

A. SaiToh, R. Rahimi, and M. Nakahara, "Mathematical framework for detection and quantification of nonclassical correlation", *Quantum Inf. Comput.* **11**, 0167-0180 (2011); arXiv: 0802.2263 (quant-ph).

A. SaiToh, R. Rahimi, and M. Nakahara, "Tractable measure of nonclassical correlation using density matrix truncations", *Quantum Inf. Process.*, published in "online first" (Nov. 2010); arXiv: 0906.4187 (quant-ph).

T. Ichikawa, M. Huber, P. Krammer, and B. C. Hiesmayr, "Mixed State Entanglement Measures for Intermediate Separability", *Int. J. Quant. Inf.* **8**, 677 (2010); arXiv: 0911.4245 (quant-ph).

T. Ichikawa, T. Sasaki, and I. Tsutsui, "Separability of N-particle Fermionic States for Arbitrary Partitions", *J. Math. Phys.* **51**, 062202 (2010); arXiv: 0910.1658 (quant-ph).

T. Ohmi and M. Nakahara, "Quantum Computing with *p*-Wave Superfluid Vortices", *J. Phys. Soc. Jpn.* **79**, 104602 (2010); arXiv: 0906.4444 (quant-ph).

Y. Sasaki, "On zeros of exponential polynomials and quantum algorithms", *Quantum Inf. Process.* **9**, 419-427 (2010).

R. Rahimi and A. SaiToh, "Single-experiment-detectable nonclassical correlation witness", *Physical Review A* **82**, 022314 (2010); arXiv: 0911.3460 (quant-ph).

Y. Ota, Y. Goto, Y. Kondo, and M. Nakahara, "Geometric quantum gates in liquid-state NMR based on a cancellation of dynamical phases",
*Physical Review A* **80**, 052311 (2009).

A. SaiToh, R. Rahimi, and M. Nakahara, "Economical (k,m)-threshold controlled quantum teleportation",
*Physical Review A* **79**, 062313 (2009);
arxiv: 0901.2674 (quant-ph).

K. Sato, S. Nakazawa, R. Rahimi, T. Ise, S. Nishida, T. Yoshino, N. Mori, K. Toyota, D. Shiomi, Y. Yakiyama, Y. Morita, M. Kitagawa, K. Nakasuji, M. Nakahara, H. Hara, P. Carl, P. Höfer, and T. Takui,
"Molecular electron-spin quantum computers and quantum information processing: pulse-based electron magnetic resonance spin technology applied to matter spin-qubits",
*Journal of Materials Chemistry* **19**, 3739 (2009).

Y. Ota, M. Bando, Y. Kondo, and M. Nakahara,
"Implementation of holonomic quantum gates by an isospectral deformation
of an Ising dimer chain",
*Physical Review A* **78**, 052315 (2008);
arXiv:0809.1705 (quant-ph).

A. SaiToh, R. Rahimi, and M. Nakahara,
"Non-classical correlation in a multi-particle quantum system reconsidered",
*Physical Review A* **77**, 052101 (2008);
arXiv:quant-ph/0703133.

A. SaiToh, R. Rahimi, and M. Nakahara, "Evaluating measure of nonclassical
correlation in a multiparticle quantum sysytem",
*International Journal of Quantum Information* **6**,
Supp. 1, pp.787-793 (2008),
in the special issue of *International Journal of Quantum Information*,
"Noise, Information and Complexity at Quantum Scale" (Proceedings of NIC@QS07);
arXiv:0802.2169.

R. Rahimi, A. SaiToh, and M. Nakahara, "Coherence Conservation of a Qubit
Coupled to a Thermal Dissipating Environment",
*International Journal of Quantum Information* **6**,
Supp. 1, pp.779-785 (2008),
in the special issue of *International Journal of Quantum Information*,
"Noise, Information and Complexity at Quantum Scale" (Proceedings of NIC@QS07);
arXiv:0802.1596.

R. Rahimi, A. SaiToh, and M. Nakahara,
"Bang-bang control of entanglement in spin-bus-boson model,"
*Journal of the Physical Society of Japan* **76**,
114007 (2007).

Y. Kondo, M. Nakahara, S. Tanimura, S. Kitajima, C. Uchiyama, and F. Shibata,
"Generation and suppression of decoeherence in artificial
environment for qubit system,"
*Journal of the Physical Society of Japan ***76,** 074002, (2007).

K. Sato, R. Rahimi, N. Mori, S. Nishida, K. Toyota, D. Shiomi, Y. Morita,
A. Ueda, S. Suzuki, K. Furukawa, T. Nakamura, M. Kitagawa, K. Nakasuji, M. Nakahara,
H. Hra, P. Carl, P. Hofer, and T. Takui,
"Implementation of molecular spin quantum computing by pulsed ENDOR techniques:
direct observation of quantum entanglement and spinor,"
*Physica E* **40**, 363 (2007).

R. Rahimi, A. SaiToh, M. Nakahara, and M. Kitagawa, Single-Experiment-Detectable
ultipartite Entanglement Witness for Ensemble Quantum Computing,
*Physical Review A ***75**, 032317 (2007);
arXiv.org:quant-ph/0608168.

M. Nakahara, J. J. Vartiainen, Y. Kondo, S. Tanimura, and K. Hata,
"Reducing execution time of quantum algorithms by additional permutation gates,"
*Physics Letters* A **350**, 27-30 (2006).

R. Rahimi, K. Takeda, M. Ozawa, and M. Kitagawa,
"Entanglement Witness Derived from NMR Superdense Coding,"
*Journal of Physics A: Mathematical and General*
**39**, 2151-2159 (2006),
arXiv:quan-ph/0405175.

A. SaiToh and R. Rahimi, "
Population-only decay map for n-qubit n-partite inseparability detection",
*Physical Review *A **74**, 064305 (2006);
arXiv.org:quant-ph/0608172.

S. Tanimura, M. Nakahara and D. Hayashi,
"Exact solutions of the isoholonomic problem and the optimal control
problem in holonomic quantum computation",
*Journal of Mathematical Physics* **46**, 022101 (2005).

Y. Kawaguchi, M. Nakahara and T. Ohmi,
"Topological Phase Imprinting in BEC in Presence of Gravitational Field,"
*Journal of Low Temperature Physics, ***138**, 699 (2005).

J. J. Vartiainen, A. O. Niskanen, M. Nakahara, and M. M. Salomaa,
"Acceleration of quantum algorithms using three-qubit gates,"
*International Journal of Quantum Information*, **2**, 1 (2004).

S. Tanimura, D. Hayashi, and M. Nakahara,
"Exact solutions of holonomic quantum computation,"
*Phys. Lett.* A, **325**, 199 (2004).

J. J. Vartiainen, A. O. Niskanen, M. Nakahara, and M. M. Salomaa,
"Implementing Shor's algorithm on Josephson charge qubits,"
*Phys. Rev.* A, **70**, 012319 (2004).

Y. Kawaguchi, M. Nakahara and T. Ohmi,
"Topological vortex formation in a Bose-Einstein condensate under gravitational field,"
*Phys. Rev.* A, **70**, 043605 (2004).

M. Nakahara, Y. Kondo, K. Hata and S. Tanimura,
"Demonstrating quantum algorithm acceleration with NMR quantum computer,"
*Phy. Rev.* A, **70**, 052319 (2004).

T. Mizushima, Y. Kawaguchi, K. Machida, T. Ohmi, T. Isoshima,
and M.M. Salomaa,
"Collective Oscillations of Vortex Lattices in Rotaing
Bose-Einstein Condensates,"
*Phys. Rev. Lett.* **92**, 060407 (2004).

R. Ishiguro, O. Ishikawa, M. Yamashita, Y. Sasaki, K. Fukuda,
M. Kobota, H. Ishimoto, R.E. Packard, T. Takagi, T. Ohmi, and T.Mizusaki,
"Vortex Forrmation and Annihilation in Three Textures of
Rotating Superfluid ^{3}He-A,"
*Phys. Rev. Lett.* **93**, 125301 (2004).

Y. Kawaguchi and T. Ohmi,
"Splitting Instability of a Multiply Charged Vortex in a
Bose-Einstein Condensate,"
*Phys. Rev. *A, **70**, 043610 (2004).

A. O. Niskanen, M. Nakahara and M. M. Salomaa,
"Realization of arbitrary gates in holonomic quantum computation,"
*Phys. Rev.* A **67**, 012319 (2003)

Y. Kawaguchi and T. Ohmi,
"Stability of Magnetically Trapped Bose-Einstein Condensates,"
*J. Phys. Soc. Jpn,* **72**, 1118-1122 (2003)

M. Nakahara and T. Ohmi, "Vortices in BEC of Alkali Atoms," *Butsuri, Journal for Japanese Physical Society*, **57, **188 (2002)

S. Ogawa, M. Mottonen, M. Nakahara, T. Ohmi, and H. Shimada, "Method to create a vortex in a Bose-Einstein condensate,"
*Phys. Rev.* A **66, **013617 (2002).

M. Mottonen, N. Matsumoto, M. Nakahara and T. Ohmi, "Continuous
creation of a vortex in a Bose-Einstein condensate with hyperfine spin
F=2,"
*J. Phys.: Condens. Matter* **14**, 13481 (2002)

A. O. Niskanen, M. Nakahara, and M. M. Salomaa, "Optimal Holonomic Quantum Gates," *Quantum Information and Computation* **2**, 560 (2002)

A. Fukuda, H. Takenaka, T. Ohmi, and T. Mizusaki, "Cooling Mechanism of Spin Polarized Atomic Hydrogen adsorbed on Dilute ^{3}He -^{4}He Mixture Film,"
*J. Low Temp. Phys.* **126**, 127-132 (2002)

H. Furukawa and T.Ohmi, "Thermal Conductivity of Solid ^{3}He in U2D2 Phase at Low Temperatures,"
*J. Phys. Soc. Jpn.* **71**, 2178-2185 (2002)

H. Furukawa and T.Ohmi,
"Effect of Magnetic Defects on Thermal Conductivity of Solid
^{3}He in U2 D2 Phase,"
*J. Low Temp. Phys.* **126**, 21-26 (2002)

K. Machida and T.Ohmi,
"Phenomenological Theory of Ferromagetic Superconductivity,"
*Phys. Rev. Lett.* **86**, 850- 853 (2001)

T. Isoshima, K. Machida, and T. Ohmi,
"Quantum Vortex in a Spinor Bose-Einstein Condensete,"
*J. Phys. Soc. Jpn.* **70**, 1604-1610 (2001)

M. Nakahara, T. Isoshima, K. Machida, S. Ogawa, and T. Ohmi,
"A simple method to create a vortex in Bose-Einstein condensate of alkali atoms",
*Physica* B **284-288 Part 1**, 17-18 (2000).

T. Isoshima, M. Nakahara, T. Ohmi, and K. Machida,
"Creation of a Persistent Current and Vortex in a Bose-Einstein Condensate
of Alkali-Metal Atoms",
*Phys. Rev.* A, **61**, 063610 (2000).

K. Machida, T. Ohmi,
"Orbital Pairing Form and Gap Topology of Triplet Superconductivity in UPt_{3},"
*Physica* B, **280**, 172 (2000)

T. Isoshima, T. Ohmi, K. Machida, "
Double Phase Transitions in Magnetized Spinor Bose-Einstein Condensation,"
*J. Phys. Soc. Jpn.* **69**, 3864-3869 (2000)

H. Furukawa, T. Ohmi, "
Superfluid 3He Thin Films with Specularly Reflecting Walls,"
*J. Low Temp. Phys.* **121**, 465-470 (2000)

O. Ishikawa, R. Ishiguro, K. Fukuda, Y. Sasaki T. Takagi, T. Ohmi, T. Mizusaki, A. Marchenkov, J.C. Davis, R.E. Pachard,
"NMR Measurement of Superfluid ^{3}He-A in Cylindrical Cell under Rotation,"
*Physica* B **284-288, Part 1**, 248 (2001)

G. Konisi, Z. Maki, M. Nakahara, T. Saito, "Left-Right Symmetric
Model from Geometric Formulation of Gauge Theory in N_4*Z_2*Z_2"
*Prog. Theor. Phys.* **101**, 1105 (1999)

K. Machida, T. Nishira, T. Ohmi, "Orbital Symmetry of a Triplet Pairing in a Heavy Fermion Superconductor UPt_{3},"
*J. Phys. Soc. Jpn.* **68**, 3364 (1999)

H. Furukawa, T. Ohmi, "Paramagnon and Size Effects for* T _{c} *
in Superfluid

T.Isoshima, K. Machida, T. Ohmi,
"Spin-domain Formation in Spinor Bose-Einstein Condensation,"
*Phys. Rev.* A 60, 4857 (1999)

M. Kubo, Z. Maki, M. Nakahara, T. Saito,
"Grand Unification from Gauge Theory in M_4*Z_N,"
*Prog. Theor. Phys.* **100**, 165 (1998)

Y. Okamoto, T. Ohmi,
"Theory of the Anomalous Nuclear Spin Relaxation in U2D2 Solid ^{3}He,"
*J. Low Temp.Phys.* **110**, 69 (1998)

K. Machida, T. Ohmi,
"Identification of Non-unitary Triplet Pairing in a Heavy
Fermion Superconductor UPt_{3},"
*J. Phys. Soc. Jpn.* **67**, 1122 (1998)

T. Ohmi, K.Machida,
"Bose-Einstein Condensation with Internal Degrees of
Freedom in Alkali Atom Gases,"
*J. Phys. Soc. Jpn.* **67**, 1822 (1998)

M. Nakahara, "Stability of a polaron in polyacetylene,"
*Phys. Lett.* A **236**, 97 (1997)

T. Yamaue, T. Ohmi, "Diffusive Boundary Effect on the Superconducting Transition Temperature of Thin Films in Magnetic Field,"
*Prog. Theor. Phys.* **95**, 1041 (1996)

M.R. Rand, D.T. Spraque, T.M. Haard, J.B. Kycia, H.H. Hensley, Y.
Lee, P.J. Hamot, D.M. Marks, W.P. Halperin, T. Mizusaki, T. Ohmi, "
Nonlinear Spin Dynamics and Magetic Field Distortion of Order Parameter
in Superfluid ^{3}He-B,"
*Phys. Rev. Lett.* **77**, 1314 (1996)

K. Machida, T. Ohmi, "Possible Pairing Mechanism and Double Transition in UPt_{3},"
*J. Phys. Soc. Jpn.* **65**, 3456 (1996)

K. Machida, M. Ozaki, T. Ohmi, "Odd-Parity Pairing Superconductivity under Tetragonal Symmetry, Possible Application to Sr_{2}RuO_{4}-,"
*J. Phys. Soc. Jpn.* **65**, 3720 (1996)

T. Ohmi, K. Machida, "Non-unitary Triplet Pairing State in UPt_{3},"
*J. Phys. Soc. Jpn.* **65**, 4025 (1996)

M. Nakahara, T. Ohmi, "Macroscopic Quantum Nucleation in cis-Polyacetylene," *Prog. Theor. Phys.* **94**, 311 (1995)

T. Fujita, K. Machida, T. Ohmi, "Phase Diagram in UPt_{3} under Various Field Orientations; Y. Hirano," *J. Phys. Soc. Jpn.* **64**, 210 (1995)

K. Machida, M. Ozaki, T. Ohmi, "Superconducting Pairing Symmetry in UPt_{3}," *J. Phys. Soc. Jpn.* **64**, 1067 (1995)

T. Sugiyama, T. Ohmi, "A Mechanism to Stabilize the Non-Unitary State for the Heavy Fermion Superconductor UPt_{3}," *J. Phys. Soc. Jpn.* **64**, 2746 (1995)

K. Machida, T. Fujita, T. Ohmi, M. Ozaki, "Vortex Lattice Structures for Unconventional Supreconductivity in UPt_{3}," *Physica* B **131**, 213-214 (1995)

M. Nakahara, "Fredholm determinant and the Strum-Liouville problems in quantum mechanics," *Phys. Lett.* A **186**, 51 (1994)

T. Fujita, W. Aoyama, K. Machida, T. Ohmi, "Phase Diagram and Vortex Structures in UPt_{3}," *J. Phys. Soc. Jpn.* **63**, 247 (1994)

T.Fujita,W. Aoyama, K. Machida, T. Ohmi, "Phase Diagram in a Heavy Fermion Superconductor UPt_{3}," *Physica* B **2015**, 194-196 (1994)

T. Ohmi, K. Machida, "Non-Unitary State in a Heavy Fermion Superconductor UPt_{3}," *Physica* B **2081**, 194-196 (1994)

M. Nakahara, D. Waxman and G. Williams, " Addendum to
`Non-analytical behaviour of the free energy of fermions coupled to
small solitons," *J. Phys. A: Math. Gen.* **26**, 765 (1993)

K. Machida, T. Ohmi and M. Ozaki, "Superconducting Properties of Heavy Electron Materials UPt_{3}," *J. Phys. Soc. Jpn.* **62**, 3216 (1993)

T. Sugiyama, T. Ohmi, "Paramagnetically Limited Critical Field of D-wave Superconductor," *Prog. Theor. Phys.* **89**, 787 (1993)

I. A. Fomin, T. Ohmi, "Theory of the Anomalous cw-NMR Frequency Shift in U2D2 Solid ^{3}He," *Phys. Lett.* A **180**, 141 (1993)

T. Ohmi, K. Machida,"Non-Unitary Superconducting State in UPt_{3}," *Phys. Rev. Lett.* **71**, 625 (1993)

K. Machida, M. Ozaki, T. Fujita, T. Ohmi, "Superconducting Double Transition in UPt_{3} and Possible Nontrivial Vortex Structures," *Physica* B **218**, 186-188 (1993)

K.Machida, T. Fujita, T. Ohmi, "Vortex Structures in an Anisotropic Pairing Superconducting States with Odd Parity," *J.Phys. Soc. Jpn.* **62**, 680 (1993)

M. Ichioka, T. Ohmi, T. Tsuneto, "Superconductivity in Two-Band Model," *Prog. Theor. Phys.* **90**, 499 (1993)

M. Nakahara, D. Waxman and G. Williams, "The Order Parameter Length Scale of a Vortex Line in a Type II Superconductor," *Prog. Theor. Phys.* **88**, 129 (1992)

R. Ikeda, T. Ohmi, T. Tsuneto, "Massless Mode in Abrikosov Flux Lattice, Elastic Modes and Superconducting Order," *J. Phys. Soc. Jpn. ***61**, 254 (1992)

M. Nakahara and G. Williams, "Ginzburg-Landau Expansion at Low Temperatures," *Prog. Theor. Phys.* **86**, 315 (1991)

M. Nakahara, D. Waxman, G. Williams, "Approximate calculation of the
free energy of Fermi systems with topological soliton: soliton creation
energy of polyacetylene," *J. Phys. C: Condens. Matter,* **3**, 6743 (1991)

T. Ohmi, M. Tsubota, "Spin Relaxation in U2D2^{ 3}He," *Physica* B **169**, 555 (1991)

T. Ohmi, M. Tsubota, "Spin Relaxation in U2D2 Solid ^{3}He," *J. Low Temp. Phys.* **83**, 177 (1991)

R. Ikeda, T. Ohmi, T. Tsuneto, "Massless Modes and Superconducting Order in Abrikosov Flux Lattice," *Physica* C **1563**, 185-189 (1991)

R. Ikeda, T. Ohmi, T. Tsuneto, "Theory of Broad Resistive Transition in High Temperature Superconductors under Magnetic Field," *J. Phys. Soc. Jpn.* **60**, 1051 (1991)

R. Ikeda, T. Ohmi, T. Tsuneto, "Comment of Giant out-of-Plane
Magneto Resistance in Bi-Sr-Ca-Cu-O; A New Dissipation Mechanism in
Cooper-Oxide Superconductor ? " *Phys. Rev. Lett.* **67**, 3974 (1991)

M. Nakahara, D. Waxman, G. Williams, "Functional treatment of solitons in polyacetylene," *J. Phys. A: Math. Gen.* **23**, 5017 (1990)

R. Ikeda, T. Ohmi, T. Tsuneto, "Renormalized Superconducting
Fluctuations in Magnetic Field - Extrapolation to Lower Temperature -
," *J. Phys. Soc. Jpn.* **59**, 1397 (1990)

R. Ikeda, T. Ohmi, T. Tsuneto, "Massless Mode of Abrikosov Flux Lattice," *J. Phys. Soc. Jpn.* **59**, 1740 (1990)

R. Ikeda, T. Ohmi, T. Tsuneto, "Theoretical Explanation of Broad Resistive Transition in High Temperature Superconductors," *Physica* B **1359**, 165-166 (1990)

K. Machida, M. Ozaki, T. Ohmi,"Unconventional Superconductivity and Related Instabilities in Heavy Fermion Compounds," *J. Magn. Magn. Mat.* **417**, 90-91 (1990)

R. Ikeda, T. Ohmi, T. Tsuneto, "Renormalized Fluctuation Theory of
Resistive Transition in High Temperature Superconductors under Magnetic
Field," *J. Phys. Soc. Jpn.* **58**, 1377 (1989)

K. Machida, M. Ozaki, T. Ohmi, "Unconventional Superconducting Class in a Heavy Fermion System UPt_{3}," *J. Phys. Soc. Jpn.* **58**, 4116 (1989)

R. Ikeda, T. Ohmi, T. Tsuneto, "Fluctuation Effect in High T_{c }Superconductors in Strong Magnetic Fields," *Physica* C **1693**, 162-164 (1989)

M. Nakahara, "Toy-Skyrmions in Superfluid ^{3}He-A," *Prog. Theor. Phys.* **77**, 1011 (1988)

T. Ohmi, M. Tsubota, T. Tsuneto, "Relaxation of Brinkman-Smith Mode in Superfluid ^{3}He-B between Parallel Plates," *Jpn. Appl. Phys. ***26**, 169 (1987)

H. Matsumoto, M. Nakahara, H. Umezawa, N. Yamamoto, "Consistent picture of supersymmetry breaking at finite temperature," *Phys. Rev.* D **33**, 2851 (1986)

M. Nakahara, "Bound states on domain wall in superfluid ^{3}He-A film," *J. Phys. C: Solid State Phys.* **19**, L195 (1986)

M. Ozaki, K. *Prog. Theor. Phys.* **75**, 442 (1986)

M.
Itoh, T. Mizusaki, T. Ohmi, M. Motomura, A. Hirai,"Measurements of
Nyquist Noise Spectra in Passive Electric Circuits by Using a SQUID," *Jpn. J. Appl. Phys.* **25**, 1097 (1986)

M. Tsubota, T. Ohmi, T. Tsuneto, "Magnetic Domain Wall in UUDD ^{3}He," *Prog. Theor. Phys.* **76**, 1222 (1986)

M. Tachiki, M. Nakahara, R. Teshima, "Tunneling in heavy fermion systems," *J. Magnetism and Magnetic Materials*** 52**, 161 (1985)

H. Matsumoto, M. Nakahara, Y. Nakano, H. Umezawa, "The nature of
zero-energy singularity in supersymmetry breaking at finite
temperature," *Physica* **15 D**, 163 (1985)

T. Ohmi, T. Tsubota and T. Tsuneto, "Low Frequency Spin Wave and Magnetic Soliton in UUDD ^{3}He," *Prog. Theor. Phys.* **73**, 1075 (1985)

K. Machida, T. Ohmi, M. Ozaki, "Anisotropy of Upper Critical Fields for D- and P-pairing Superconductivity," *J. Phys. Soc. Jpn.* **54**, 1552 (1985)

M. Ozaki, K. Machida, T. Ohmi, "On P-wave Pairing Superconductivity under Cubic Symmetry," *Prog. Theor. Phys.* **74**, 221 (1985)

H. Matsumoto, M. Nakahara, Y. Nakano, H. Umezawa, "A new zero energy mode in supersymmetry at finite temperature," *Phys. Lett. ***140 B**, 53 (1984)

H. Matsumoto, M. Nakahara, Y. Nakano, H. Umezawa, "Supersymmetry at finite temperature," *Phys. Rev.* D **29**, 2838 (1984)

M. Nakahara, "Temperature induced Casimir effect in supersymmetric model," *Phys. Lett.* **142 B**, 395 (1984)

H.
K. Seppala, P. J. Hakonen,K. Krusius, T. Ohmi, M. M. Salomaa, J. T.
Simola and G. E. Volovik,"Continuous Vortices with Broken Symmetry in
Rotating Superfluid ^{3}He-A," *Phys. Rev. Letters* **52**, 1802 (1984)

T. Ohmi, "Vortex Lattice Structure of Superfluid ^{3}He-A in a Magnetic Field," *J. Low Temp. Phys.* **56**, 183 (1984)

K. Maki and M. Nakahara, "Spin waves in superfluid ^{3}He-B in a rotating cylinder," *Phys. Rev.* B **27**, 4181 (1983)

M. Nakahara and K. Maki, "Pulsed nuclear magnetic resonance and soliton lattice in ^{3}He-A," *Phys. Rev.* B **27**, 4456 (1983)

T. Ohmi, T. Tsuneto, T. Fujita, "Core Structure of Vortex Line in ^{3}He-B," *Prog. Theor. Phys. ***70**, 647 (1983)

M. Nakahara, K. Maki, "Quantum corrections to solitons in polyacetylene," *Phys. Rev.* B **25**, 7789 (1982)

T. Ohmi, M. Nakahara, T. Tsuneto and T. Fujita, "Extended Structures in Thin Film of Superfluid ^{3}He-A," *Prog. Theor. Phys.* **68**, 1433 (1982)

K. Maki and M. Nakahara, "Solitons in polyacetylene: optical absorption in lightly doped polyacetylene," *Phys. Rev.* B **23**, 5005 (1981)

M. Nakahara and K. Maki, "Soliton lattice in polyacetylene," *Phys. Rev.* B **24**, 1045 (1981)

H.
Yamamoto, T. Ohmi, "Commensurate-Incommensurate Phase Transition in
Quasi One-Dimensional Electron-Phonon System (Nearly Half-Filled
Band)," *Prog. Theor. Phys.* **66**, 805 (1981)

T. Ohmi, T. Tsuneto, T. Fujita, "Response of ^{3}He in Mermin-Ho Texture to Rotational Perturbation," *Physica* **103B**, 49 (1981)

T. Ohmi, K. Sunaga, T. Tsuneto, "Superfliud Transition Temperature of ^{3}He Film on ^{3}He-^{4}He Mixture," *Physica* **103B**,1141(1981)

T. Fujita, T. Nakahara, T. Ohmi and T. Tsuneto, "A-B Transition in Superfluid Helium-3 Film," *Prog. Theor. Phys.* **64**, 346 (1980)

T. Ohmi, M. Nakahara, T. Tsuneto, "A Charged ^{3}P Superfluid in the ABM States," *Prog. Theor. Phys.* **64**, 1516 (1980)

T. Ohmi and M. Nakahara, "Effects of a Magnetic Field on Superfluid ^{3}He-A Texture in a Cylinder," *Prog. Theor. Phys.* **61**, 709 (1979)

M. Nakahara, T. Ohmi, T. Tsuneto and T. Fujita, "Detectability of Vortex Lattice in Rotating Superfluid ^{3}He-A," *Prog. Theor. Phys.* **62**, 874 (1979)

H. Yamamoto, *Prog. Theor. Phys.* **61**, 751 (1979)

H. Kawamoto, T. Ohmi, "Long Wave Length Excitation in Superfluid ^{4}He Film," *Prog. Theor. Phys.* **61**, 983 (1979)

T. Fujita, M. Nakahara, T. Ohmi, T. Tsuneto, "Textures in Rotating Superfluid ^{3}He," *Prog. Theor. Phys.* **60**, 671 (1978)

T. Fujita, T. Ohmi, T. Tsuneto, "Vortex Ring without Singular Cores in Superfluid ^{3}He-A," *Prog. Theor. Phys.* **59**, 664 (1978)

H.
Yamamoto, I. Nakayama, T. Ohmi, "Commensurate-Incommensurate
Charge-Density Wave Phase Transition in One-Dimentional Electron Phonon
System, " *Prog. Theor. Phys.* **59**, 351 (1978)

T. Fujita, T. Ohmi, T.Tsuneto, "Vortex Ring without Singular Cores in Superfluid ^{3}He-A," *Prog. Theor. Phys.* **60**, 661 (1978)

T. Fujita, M. Nakahara, T. Ohmi, T. Tsuneto, "Textures in Rotating Superfluid ^{3}He-A," *Prog. Theor. Phys.* **60**, 671 (1978)

T. Ohmi, H. Yamamoto, "Note on the Ground State of the Peierls-Frolich System (Nearly 1/3 Filled Band)," *Prog. Theor. Phys.* **57**, 688 (1977)

Y. Ichikawa, T. Ohmi, T. Usui, "Superfluid Film of Helium near the Lambda-Point," *Prog, Theor. Phys.* **57**, 1148 (1977)

T.
Ohmi, H. Yamamoto,"Commensurate-Incommensurate Charge-Density Wave
Phase Transition in One-Dimensional Electron-Phonon System," *Prog. Theor. Phys.* **58**, 743 (1977)

T. Ohmi, K. Nakajima, T. Tsuneto, "Application of Skeleton Graph Technique to One-Dimensional Metal," *Prog. Theor. Phys.* **55**, 1396 (1976)

T. Ohmi, H. Kawamoto and T. Tsuneto, "Roton Spectrum in Superfluid Mixture of ^{3}He and ^{4}He," *Prog. Theor. Phys.* **52**, 17 (1974)

T. Ohmi, T. Usui, "Mobility of Negative Ions along Superfluid Vortices," *Prog. Theor. Phys.* **45**, 1717 (1971)

T. Ohmi, T. Tsuneto, T. Usui, "Phase Separation in Rotating Helium," *Prog. Theor. Phys. ***41**, 1395 (1969)

T. Ohmi, T. Usui,"Superfluid Vortex, Trapping Neutral Impurities," *Prog. Theor. Phys.* **41**, 1401 (1969)

Preprint

A. SaiToh, R. Rahimi, M. Nakahara, "Generic Framework to Detect and Quantify Nonclassical Correlation" , arXiv:0802.2263

A. SaiToh, R. Rahimi, M. Nakahara,
"Evaluating measures of nonclassical correlation in a multipartite quantum system",
arXiv:0802.2169;
accepted for publication in the special issue of
*International Journal of Quantum Information*

R. Rahimi, A. SaiToh, M. Nakahara, "Coherence Conservation of a Qubit
Coupled to a Thermal Dissipating Environment",
arXiv:0802.1596;
Accepted for publication in the special issue of
*International Journal of Quantum Information*

A. SaiToh, R. Rahimi, M. Nakahara,
" Non-classical correlation in a multi-particle quantum system reconsidered",
arXiv.org:quant-ph/0703133;
*Physical Review A* **77**, 052101 (2008).

A. SaiToh, R. Rahimi,
"Population-only decay map for n-qubit n-partite
inseparability detection ",
arXiv.org:quant-ph/0608172;
*Physical Review *A **74**, 064305 (2006).

R. Rahimi, K. Takeda, M. Ozawa, M. Kitagawa,
"Entanglement Witness Derived from NMR Superdense Coding ",
arXiv:quan-ph/0405175;
*Journal of Physics A: Mathematical and General*
**39**, 2151-2159 (2006).