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19922026
most citedQuaternion Fourier Transform on Quaternion Fields and Generalizations

288 citations

Showing 2006Show all

5 papers · 1 filter

physics.soc-ph2006★ 105 cited

Swarm-Oscillators

Dan Tanaka

Nonlinear coupling between inter- and intra-element dynamics appears as a collective behaviour of elements. The elements in this paper denote symptoms such as a bacterium having an…

quant-ph2006

Optimal estimation of an observable's expectation value for pure states for general measure of deviation

Minoru Horibe, Akihisa Hayashi, Takaaki Hashimoto

We investigate the optimal estimation of quantum expectation value of a physical observable, which minimizes a mean error with respect to general measure of deviation, when a finit…

quant-ph2006★ 1 cited

Quantum List Decoding of Classical Block Codes of Polynomially Small Rate from Quantumly Corrupted Codewords

Tomoyuki Yamakami

Given a classical error-correcting block code, the task of quantum list decoding is to produce from any quantumly corrupted codeword a short list containing all messages whose code…

cond-mat.stat-mech2006★ 2 cited

A Reversibility Parameter for a Markovian Stepper

Takahiro Harada, Naoko Nakagawa

Recent experimental studies on the stepwize motion of biological molecular motors have revealed that the ``characteristic distance'' of a step is usually less than the actual step…

quant-ph2006★ 5 cited

Stationary quantum Markov process for the Wigner function

T. Hashimoto, M. Horibe, A. Hayashi

As a stochastic model for quantum mechanics we present a stationary quantum Markov process for the time evolution of the Wigner function on a lattice phase space Z_N x Z_N with N o…