scholarly journals Transport Equations Including Many-Particle Correlations for an Arbitrary Quantum System: A General Formalism

1996 ◽  
Vol 252 (2) ◽  
pp. 479-498 ◽  
Author(s):  
Jens Fricke
Keyword(s):  
Quantum System ◽  
Transport Equations ◽  
Particle Correlations ◽  
System A ◽  
Arbitrary Quantum

scholarly journals High-Efficiency Arbitrary Quantum Operation on a High-Dimensional Quantum System

2021 ◽  
Vol 127 (9) ◽  
Author(s):  
W. Cai ◽  
J. Han ◽  
L. Hu ◽  
Y. Ma ◽  
X. Mu ◽  
...  
Keyword(s):  
Quantum System ◽  
High Efficiency ◽  
High Dimensional ◽  
Quantum Operation ◽  
Arbitrary Quantum

scholarly journals Probing Rényi entanglement entropy via randomized measurements

Science ◽  
2019 ◽  
Vol 364 (6437) ◽  
pp. 260-263 ◽  
Author(s):  
Tiff Brydges ◽  
Andreas Elben ◽  
Petar Jurcevic ◽  
Benoît Vermersch ◽  
Christine Maier ◽  
...  
Keyword(s):  
Quantum System ◽  
Entanglement Entropy ◽  
Quantum Systems ◽  
Quantum States ◽  
Many Body ◽  
Trapped Ion ◽  
Statistical Correlations ◽  
Quantum Simulator ◽  
Entanglement Structure ◽  
Arbitrary Quantum

Entanglement is a key feature of many-body quantum systems. Measuring the entropy of different partitions of a quantum system provides a way to probe its entanglement structure. Here, we present and experimentally demonstrate a protocol for measuring the second-order Rényi entropy based on statistical correlations between randomized measurements. Our experiments, carried out with a trapped-ion quantum simulator with partition sizes of up to 10 qubits, prove the overall coherent character of the system dynamics and reveal the growth of entanglement between its parts, in both the absence and presence of disorder. Our protocol represents a universal tool for probing and characterizing engineered quantum systems in the laboratory, which is applicable to arbitrary quantum states of up to several tens of qubits.

scholarly journals Period and toroidal knot mosaics

2017 ◽  
Vol 26 (05) ◽  
pp. 1750031 ◽  
Author(s):  
Seungsang Oh ◽  
Kyungpyo Hong ◽  
Ho Lee ◽  
Hwa Jeong Lee ◽  
Mi Jeong Yeon
Keyword(s):  
Quantum System ◽  
Prime Number ◽  
Growth Rates ◽  
Exact Enumeration ◽  
Common Features ◽  
System A ◽  
Number Formula ◽  
And Mathematics ◽  
Definition Of ◽  
Positive Integers

Knot mosaic theory was introduced by Lomonaco and Kauffman in the paper on ‘Quantum knots and mosaics’ to give a precise and workable definition of quantum knots, intended to represent an actual physical quantum system. A knot [Formula: see text]-mosaic is an [Formula: see text] matrix whose entries are eleven mosaic tiles, representing a knot or a link by adjoining properly. In this paper, we introduce two variants of knot mosaics: period knot mosaics and toroidal knot mosaics, which are common features in physics and mathematics. We present an algorithm producing the exact enumeration of period knot [Formula: see text]-mosaics for any positive integers [Formula: see text] and [Formula: see text], toroidal knot [Formula: see text]-mosaics for co-prime integers [Formula: see text] and [Formula: see text], and furthermore toroidal knot [Formula: see text]-mosaics for a prime number [Formula: see text]. We also analyze the asymptotics of the growth rates of their cardinality.

EXACT CANONICALLY CONJUGATE MOMENTA APPROACH TO AN SU(N) QUANTUM SYSTEM

1998 ◽  
Vol 13 (32) ◽  
pp. 5535-5556 ◽  
Author(s):  
SEIYA NISHIYAMA
Keyword(s):  
Quantum System ◽  
Natural Extension ◽  
Integral Equation Method ◽  
Collective Variables ◽  
Canonical Variables ◽  
System A ◽  
Symmetric Quantum ◽  
Collective Hamiltonian ◽  
Field Formalism ◽  
Derivatives Of

The collective field formalism by Jevicki and Sakita is a useful approach to the problem of treating general planar diagrams involved in an SU (N) symmetric quantum system. To approach this problem, standing on the Tomonaga spirit we also previously developed a collective description of an SU (N) symmetric Hamiltonian. However, this description has the following difficulties: (i) Collective momenta associated with the time derivatives of collective variables are not exact canonically conjugate to the collective variables; (ii) The collective momenta are not independent of each other. We propose exact canonically conjugate momenta to the collective variables with the aid of the integral equation method developed by Sunakawa et al. A set of exact canonical variables which are derived by the first quantized language is regarded as a natural extension of the Sunakawa et al.'s to the case for the SU (N) symmetric quantum system. A collective Hamiltonian is represented in terms of the exact canonical variables up to the order of [Formula: see text].

scholarly journals COHERENT AND GENERALIZED INTELLIGENT STATES FOR INFINITE SQUARE WELL POTENTIAL AND NONLINEAR OSCILLATORS

2002 ◽  
Vol 16 (26) ◽  
pp. 3915-3937 ◽  
Author(s):  
A. H. EL KINANI ◽  
M. DAOUD
Keyword(s):  
Quantum System ◽  
Coherent States ◽  
Nonlinear Oscillators ◽  
Analytical Representation ◽  
Square Well ◽  
Arbitrary Quantum

This article is an illustration of the construction of coherent and generalized intelligent states which has been recently proposed by us for an arbitrary quantum system.1 We treat the quantum system submitted to the infinite square well potential and the nonlinear oscillators. By means of the analytical representation of the coherent states à la Gazeau–Klauder and those à la Klauder–Perelomov, we derive the generalized intelligent states in analytical ways.

HOW MANY QUESTIONS DO YOU NEED TO PROVE THAT UNASKED QUESTIONS HAVE NO ANSWERS?

2006 ◽  
Vol 04 (01) ◽  
pp. 55-61 ◽  
Author(s):  
ADÁN CABELLO
Keyword(s):  
Quantum System ◽  
Quantum State ◽  
Minimum Number ◽  
Arbitrary Quantum

Suppose a quantum system is prepared in an arbitrary quantum state. How many yes-no questions about that system would you have to consider to prove that such questions have no predefined answers? Peres conjectured that the minimum number was 18, as in the case of the set found in 1995. Asher's conjecture has recently been proven correct: there are no sets with fewer than 18 questions. This is the end of a long story which began in 1967, when Kochen and Specker found a similar set requiring 117 questions.

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