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8 papers · 2 filters
Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory
Rajat K. Bhaduri, Jamal Sakhr, D. W. L. Sprung +2
We examine shape invariant potentials (excluding those that are obtained by scaling) in supersymmetric quantum mechanics from the stand-point of periodic orbit theory. An exact tra…
New quantum algorithm for studying NP-complete problems
Masanori Ohya, Igor V. Volovich
Ordinary approach to quantum algorithm is based on quantum Turing machine or quantum circuits. It is known that this approach is not powerful enough to solve NP-complete problems.…
Quantum Algorithm for SAT Problem and Quantum Mutual Entropy
Masanori Ohya
It is von Neumann who opened the window for today's Information epoch. He defined quantum entropy including Shannon's information more than 20 years ahead of Shannon, and he introd…
A precise estimation of the computational complexity in Shor's factoring algorithm
K. Kuriyama, S. Sano, S. Furuichi
A precise estimation of the computational complexity in Shor's factoring algorithm under the condition that the large integer we want to factorize is composed by the product of two…
On trace inequalities and their applications to noncommutative communication theory
Kenjiro Yanagi, Shigeru Furuichi, Ken Kuriyama
Certain trace inequalities related to matrix logarithm are shown. These results enable us to give a partial answer of the open problem conjectured by A.S.Holevo. That is, concavity…
Slow decay of dynamical correlation functions for nonequilibrium quantum states
Takayuki Miyadera
A property of dynamical correlation functions for nonequilibrium states is discussed. We consider arbitrary dimensional quantum spin systems with local interaction and translationa…