搜索结果: 1-15 共查到“数理统计学 QUANTUM”相关记录16条 . 查询时间(0.062 秒)
Attainment of the multiple quantum Chernoff bound for certain ensembles of mixed states
multiple quantum Chernoff bound certain ensembles mixed states
2015/8/25
We consider the problem of detecting the true quantum state among r possible ones, based onmeasurements performed on n of copies of a finite dimensional quantum system. It is known that the exponent f...
AN ASYMPTOTIC ERROR BOUND FOR TESTING MULTIPLE QUANTUM HYPOTHESES
ASYMPTOTIC ERROR BOUND TESTING MULTIPLE QUANTUM HYPOTHESES
2015/8/25
We consider the problem of detecting the true quantum state among r possible ones, based of measurements performed on n copies of a finitedimensional quantum system. A special case is the problem of d...
Asymptotically Optimal Discrimination between Pure Quantum States
multiple quantum state discrimination generalized quantum Chernoff distance quantum hypothesis testing error exponents
2015/8/25
We consider the decision problem between a finite numberof states of a finite quantum system, when an arbitrarily large number of copies of the system is available for measurements. We provide an uppe...
Exponential error rates in multiple state discrimination on a quantum spin chain
Exponential error rates multiple state discrimination quantum spin chain
2015/8/25
We consider decision problems on finite sets of hypotheses represented by pairwise different shift-invariant states on a quantum spin chain. The decision in favor of one of the hypotheses is based on ...
THE CHERNOFF LOWER BOUND FOR SYMMETRIC QUANTUM HYPOTHESIS TESTING
CHERNOFF LOWER BOUND SYMMETRIC QUANTUM HYPOTHESIS TESTING
2015/8/25
We consider symmetric hypothesis testing in quantum statistics, where the hypotheses are density operators on a finite-dimensional complex Hilbert space, representing states of a finite quantum system...
Asymptotic Error Rates in Quantum Hypothesis Testing
Asymptotic Error Rates Quantum Hypothesis Testing
2015/8/25
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptotic expone...
Rank penalized estimation of a quantum system
Rank penalized estimation quantum system Statistics Theory
2012/6/8
We introduce a new method to reconstruct the quantum matrix $\bar{\rho}$ of a system of $n$-qubits and estimate its rank $d$ from data obtained by quantum state tomography measurements repeated $m$ ti...
The Universal Arrow of Time II: Quantum mechanics case
Quantum mechanics The Universal Arrow of Time chaotic macroscopic systems classical Hamilton mechanics
2011/6/30
The given paper is natural continuation of our previous paper arXiv:1011.4173 We have illustrated earlier, that in the classical Hamilton mechanics for an overwhelming majority of real chaotic macrosc...
Quantum Theory, Noncommutativity and Heuristics
Quantum Theory Noncommutativity Heuristics
2010/12/31
Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts.Firstly as field theories on noncommutat...
On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture
On blocks stably equivalent to a quantum complete intersection of dimension 9 characteristic abelian defect group conjecture
2010/12/31
Using a stable equivalence due to Rouquier, we prove that Brou´e’s abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of sim...
The Toda chains take a particular place in the theory of integrable systems,in contrast with the linear group structure for the Gaudin model this system is related to the corresponding Borel group and...
Error probability analysis in quantum tomography: a tool for evaluating experiments
Error probability analysis quantum tomography tool for evaluating experiments
2010/12/7
We expand the scope of the statistical notion of error probability, i.e., how often large deviations are observed in an experiment, in order to make it directly applicable to quantum tomography. We ve...
Suppression of the quantum-mechanical collapse by repulsive interactions in a quantum gas
Quantum Gases (cond-mat.quant-gas) Pattern Formation and Solitons (nlin.PS)
2010/11/11
The quantum-mechanical collapse (alias fall onto the center of particles attracted by potential -1/r^2), or "quantum anomaly", is a well-known issue in the quantum theory. We demonstrate that the mean...
We present the elements of a new approach to the foundations of quantum theory and information theory which is based on the algebraic approach to integration, information geometry, and maximum relativ...
Quantum Statistical Mechanics, L-series and Anabelian Geometry
Arithmetic equivalence quantum statistical mechanics Bost-Connes system anabelian geometry
2010/9/1
It is known that two number fields with the same Dedekind zeta function are not necessarily
isomorphic. The zeta function of a number field can be interpreted as the partition function of
an associa...