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Quantum Statistics
"... Exercise Sheet 2: the quantum Cramér-Rao bound(s) and covariant measurements 1 Exercise 1: s.l.d.’s and Helstrom-Fisher matrix for unitary models Let {ρθ; θ ∈ Θ ⊂ R k} be the following quantum statistical model ρθ = exp(i kX θjHj) ρ exp(−i j=1 kX θjHj) j=1 where Hj are selfadjoint operators. Compute ..."
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Exercise Sheet 2: the quantum Cramér-Rao bound(s) and covariant measurements 1 Exercise 1: s.l.d.’s and Helstrom-Fisher matrix for unitary models Let {ρθ; θ ∈ Θ ⊂ R k} be the following quantum statistical model ρθ = exp(i kX θjHj) ρ exp(−i j=1 kX θjHj) j=1 where Hj are selfadjoint operators
Quantum Statistics
, 2009
"... Summary To any parametric family of states of a finite level quantum system we associate a space of Fisher maps and introduce the natural notions of Cramér-Rao-Bhattacharya tensor and Fisher information form. This leads us to an abstract Cramér-Rao-Bhattacharya lower bound for the covariance matri ..."
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Summary To any parametric family of states of a finite level quantum system we associate a space of Fisher maps and introduce the natural notions of Cramér-Rao-Bhattacharya tensor and Fisher information form. This leads us to an abstract Cramér-Rao-Bhattacharya lower bound for the covariance
Quarks and quantum statistics
"... I write about Héctor, his contributions to the early work in the quark model, and a general discus-sion of quantum statistics ..."
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I write about Héctor, his contributions to the early work in the quark model, and a general discus-sion of quantum statistics
Categories and quantum statistics
- in Proceedings of the symposium: Quantum Groups and their Applications in Physics, Poznan
"... Some problems related to an algebraic approach to quantum statistics are discussed. Quantum statistics is described as a result of interactions. The Fock space representation is discussed. The problem of existence of well–defined scalar product is considered. An example of physical applications is a ..."
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Cited by 8 (7 self)
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Some problems related to an algebraic approach to quantum statistics are discussed. Quantum statistics is described as a result of interactions. The Fock space representation is discussed. The problem of existence of well–defined scalar product is considered. An example of physical applications
Quantum statistical computation
, 2001
"... In quantum ground-mode computation, the logical relations among qubits that must be satisfied by the solution are realized in the ground mode of a quantum network representing the problem. In quantum statistical computation some of the logical relations are satisfied identically in virtue of quantum ..."
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Cited by 4 (0 self)
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In quantum ground-mode computation, the logical relations among qubits that must be satisfied by the solution are realized in the ground mode of a quantum network representing the problem. In quantum statistical computation some of the logical relations are satisfied identically in virtue
Quantum-Statistical Annealing Computation
, 2001
"... We develop a quantum computer architecture using quantum statistics and thermal annealing that is highly parallel and robust with respect to decoherence. The most general bounded computation can be expressed as solving a Boolean network. Quantum-statistical annealing (qusa) computation satisfies all ..."
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We develop a quantum computer architecture using quantum statistics and thermal annealing that is highly parallel and robust with respect to decoherence. The most general bounded computation can be expressed as solving a Boolean network. Quantum-statistical annealing (qusa) computation satisfies
On the explanation for quantum statistics
"... Abstract The concept of classical indistinguishability is analyzed and defended against a number of well-known criticisms, with particular attention to the Gibbs ’ paradox. Granted that it is as much at home in classical as in quantum statistical mechanics, the question arises as to why indistinguis ..."
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Cited by 15 (3 self)
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Abstract The concept of classical indistinguishability is analyzed and defended against a number of well-known criticisms, with particular attention to the Gibbs ’ paradox. Granted that it is as much at home in classical as in quantum statistical mechanics, the question arises as to why
Asymptotics in Quantum Statistics
- Institute of Mathematical Statistics
, 2001
"... This paper gives an introduction to this field in the most simple of settings, that of estimating the state of a spin-half particle given n independent copies of the particle. We show how in some cases asymptotically optimal measurements can be constructed. Other cases present interesting open probl ..."
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Cited by 12 (8 self)
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problems, connected to the fact that for some models, quantum Fisher information is in some sense non-additive. In physical terms, we have non-locality without entanglement. Keywords and phrases: Quantum statistics, information, spin half. AMS subject classifications: ??, ??. 1 Introduction
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
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Cited by 689 (18 self)
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of the spin-statistics theorem and the PCT theorem. Some potentially significant further implications of our new viewpoint on quantum field theory are discussed.
Quantum Statistics and Parton Distributions
, 1995
"... A novel approach to parton distributions parameterization in terms of quantum statistical functions is here outlined. The description, already proposed in previous publications, is here improved by adding to the statistical distributions an unpolarized liquid component. This new contribution to ferm ..."
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A novel approach to parton distributions parameterization in terms of quantum statistical functions is here outlined. The description, already proposed in previous publications, is here improved by adding to the statistical distributions an unpolarized liquid component. This new contribution
Results 1 - 10
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