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Classical and quantum annealing is discussed for a kinetically constrained chain of $N$ non-interacting asymmetric double wells, represented by Ising spins in a longitudinal field $h$. It is shown that in certain cases, where the kinetic…

Statistical Mechanics · Physics 2016-08-31 Arnab Das , Bikas K. Chakrabarti , Robin B. Stinhcombe

Two models of computer, a quantum and a classical "chemical machine" designed to compute the relevant part of Shor's factoring algorithm are discussed. The comparison shows that the basic quantum features believed to be responsible for the…

Quantum Physics · Physics 2007-05-23 Robert Alicki

Viewpoint on Nigel R. Cooper and Jean Dalibard, "Reaching Fractional Quantum Hall States with Optical Flux Lattices", Phys. Rev. Lett. 110, 185301 (2013), and N. Y. Yao, A. V. Gorshkov, C. R. Laumann, A. M. L\"auchli, J. Ye, and M. D.…

Strongly Correlated Electrons · Physics 2013-05-31 Maria Daghofer , Masudul Haque

Ben-Israel and Vaidman (Found Phys (2017). doi:10.1007/s10701-017-0071-x) have raised objections to my arguments that there are cases where a quantum mechanical weak value can be said not to represent the system to which it pertains. They…

Quantum Physics · Physics 2017-02-21 B E Y Svensson

The consistency test and error estimation for the data concerning recently reported violation of Bell inequality for Josephson phase qubits are presented in details. It is pointed out that the deviation of the Bell signal from the classical…

Quantum Physics · Physics 2009-11-23 Robert Alicki

In this review we attempt to present an overview of some of the better known quantization techniques found in the current literature and used both by physicists and mathematicians. The treatment is more descriptive than rigorous, for we aim…

Mathematical Physics · Physics 2010-11-24 S. Twareque Ali , Miroslav Engliš

Interpretations for the q-binomial coefficient evaluated at -q are discussed. A (q,t)-version is established, including an instance of a cyclic sieving phenomenon involving unitary spaces.

Combinatorics · Mathematics 2011-08-25 Shishuo Fu , Victor Reiner , Dennis Stanton , Nathaniel Thiem

A consistent functional calculus approach to the spectral theorem for strongly commuting normal operators on Hilbert spaces is presented. In contrast to the common approaches using projection-valued measures or multiplication operators,…

Functional Analysis · Mathematics 2020-09-28 Markus Haase

Quotients and comprehension are fundamental mathematical constructions that can be described via adjunctions in categorical logic. This paper reveals that quotients and comprehension are related to measurement, not only in quantum logic,…

Logic in Computer Science · Computer Science 2015-11-06 Kenta Cho , Bart Jacobs , Bas Westerbaan , Bram Westerbaan

The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and creation operators…

Combinatorics · Mathematics 2018-07-09 Hery Randriamaro

A protocol for transmission of information between two parties introduced by Salih et al., Phys. Rev. Lett. 110 (2013) 170502 (hereafter SLAZ), involves sending quantum amplitude back and forth through a quantum channel in a series of…

Quantum Physics · Physics 2023-06-30 Robert B. Griffiths

We point out several mistakes in the recent works of I.Affleck and P.Simon (cond-mat/0012002).

Strongly Correlated Electrons · Physics 2007-05-23 A. A. Zvyagin

Recently an attack strategy was proposed by Chau [H. F. Chau, quant-ph/0602099 v3], which was claimed to be able to break all quantum string seal protocols, including the one proposed by He [G. P. He, Int. J. Quant. Inform. 4, 677 (2006)].…

Quantum Physics · Physics 2007-11-19 Guang Ping He

This paper treats a quantum network from a physical approach, explicitly finds the physical eigenstates and compares them to the quantum-graph description. The basic building block of a quantum network is an X-shaped potential well made by…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Molte Emil Strange Andersen , Nikolaj Thomas Zinner

In this talk we review the limitations of including meson loops as perturbative corrections in a solvable quark model. We first discuss meson-meson scattering within a formalism which treats confined quark pairs and mesons on an equal…

Nuclear Theory · Physics 2015-01-12 K. P. Khemchandani , Eef Van Beveren , George Rupp

Algorithms to compute the quantum Fourier transform over a cyclic group are fundamental to many quantum algorithms. This paper describes such an algorithm and gives a proof of its correctness, tightening some claimed performance bounds…

Quantum Physics · Physics 2007-05-23 Chris Lomont

In this short review we first recall combinatorial or ($0-$dimensional) quantum field theory (QFT). We then give the main idea of a standard QFT method, called the intermediate field method, and we review how to apply this method to a…

Combinatorics · Mathematics 2020-02-19 Adrian Tanasa

In the paper [Hong-Shi Zong, Wei-Min Sun, Phys. Lett. B 640 (2006) 196], the authors claim that our proof of the inconsistency of the ladder approximation to QCD [Phys. Lett. B 611 (2005) 129] was incorrect. However, their claim is based on…

High Energy Physics - Phenomenology · Physics 2010-11-05 V. Gogokhia

This is my reply to Zalka and Brun's criticism of my recent paper on quantum optimization heuristics. Essentially, this criticism is shown to be utterly irrelevant.

Quantum Physics · Physics 2007-05-23 C. A. Trugenberger

We investigate the problem of determining the parameters that describe a quantum channel. It is assumed that the users of the channel have at best only partial knowledge of it and make use of a finite amount of resources to estimate it. We…