scholarly journals Complete quantum measurements break entanglement

2012 ◽  
Vol 376 (46) ◽  
pp. 3495-3498 ◽  
Author(s):  
Juha-Pekka Pellonpää
Keyword(s):  
Quantum Measurements ◽  
Complete Quantum

scholarly journals Measurement Problem in Quantum Mechanics\\ and the Surjection Hypothesis

2021 ◽  
Author(s):  
Fritz W. Bopp
Keyword(s):  
Quantum Dynamics ◽  
Measurement Problem ◽  
Quantum Measurements ◽  
Random Projections ◽  
The Third ◽  
Essential Components ◽  
Quantum Universe ◽  
Choice Decision ◽  
Actual Choice ◽  
Complete Quantum

Starting with unitary quantum dynamics, we investigate how to add quantum measurements. Quantum measurements have four essential components: the furcation, the witness production, an alignment projection, and the actual choice decision. The first two components still lie in the domain of unitary quantum dynamics. The decoherence concept explains the third contribution. It can be based on the requirement that witnesses reaching the end of time on the wave function side and the conjugate one have to be identical. In this way, it also stays within the quantum dynamics domain. The surjection hypothesis explains the actual choice decision. It is based on a two boundary interpretation applied to the complete quantum universe. It offers a simple way to reduce these seemingly random projections to purely deterministic unitary quantum dynamics, eliminating the measurement problem.

scholarly journals Symmetric informationally complete quantum measurements

2004 ◽  
Vol 45 (6) ◽  
pp. 2171-2180 ◽  
Author(s):  
Joseph M. Renes ◽  
Robin Blume-Kohout ◽  
A. J. Scott ◽  
Carlton M. Caves
Keyword(s):  
Quantum Measurements ◽  
Complete Quantum

scholarly journals Entanglement properties of multipartite informationally complete quantum measurements

2018 ◽  
Vol 51 (30) ◽  
pp. 305302 ◽  
Author(s):  
Jakub Czartowski ◽  
Dardo Goyeneche ◽  
Karol Życzkowski
Keyword(s):  
Quantum Measurements ◽  
Complete Quantum

scholarly journals The varieties of minimal tomographically complete measurements

2020 ◽  
pp. 2040005
Author(s):  
John B. DeBrota ◽  
Christopher A. Fuchs ◽  
Blake C. Stacey
Keyword(s):  
Quantum Physics ◽  
Numerical Study ◽  
Quantum Measurements ◽  
Gram Matrix ◽  
Gram Matrices ◽  
Classical Phase Space ◽  
Equivalent Conditions ◽  
Complete Quantum ◽  
The Ideal

Minimal Informationally Complete quantum measurements, or MICs, illuminate the structure of quantum theory and how it departs from the classical. Central to this capacity is their role as tomographically complete measurements with the fewest possible number of outcomes for a given finite dimension. Despite their advantages, little is known about them. We establish general properties of MICs, explore constructions of several classes of them, and make some developments to the theory of MIC Gram matrices. These Gram matrices turn out to be a rich subject of inquiry, relating linear algebra, number theory and probability. Among our results are some equivalent conditions for unbiased MICs, a characterization of rank-1 MICs through the Hadamard product, several ways in which immediate properties of MICs capture the abandonment of classical phase space intuitions, and a numerical study of MIC Gram matrix spectra. We also present, to our knowledge, the first example of an unbiased rank-1 MIC which is not group covariant. This work provides further context to the discovery that the symmetric informationally complete quantum measurements (SICs) are in many ways optimal among MICs. In a deep sense, the ideal measurements of quantum physics are not orthogonal bases.

scholarly journals Measurement Problem in Quantum Mechanics and the Surjection Hypothesis

2021 ◽  
Vol 3 (2) ◽  
pp. 316-324
Author(s):  
Fritz W. Bopp
Keyword(s):  
Quantum Dynamics ◽  
Measurement Problem ◽  
Quantum Measurements ◽  
Random Projections ◽  
The Third ◽  
Essential Components ◽  
Quantum Universe ◽  
Choice Decision ◽  
Actual Choice ◽  
Complete Quantum

Starting with unitary quantum dynamics, we investigate how to add quantum measurements. Quantum measurements have four essential components: the furcation, the witness production, an alignment projection, and the actual choice decision. The first two components still lie in the domain of unitary quantum dynamics. The decoherence concept explains the third contribution. It can be based on the requirement that witnesses reaching the end of time on the wave function side and the conjugate one have to be identical. In this way, it also stays within the quantum dynamics domain. The surjection hypothesis explains the actual choice decision. It is based on a two boundary interpretation applied to the complete quantum universe. It offers a simple way to reduce these seemingly random projections to purely deterministic unitary quantum dynamics, eliminating the measurement problem.

scholarly journals Quantum Euler Relation for Local Measurements

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 889
Author(s):  
Akram Touil ◽  
Kevin Weber ◽  
Sebastian Deffner
Keyword(s):  
Quantum Systems ◽  
Quantum Measurements ◽  
Weak Coupling Regime ◽  
Local Quantum ◽  
Dissipation Model ◽  
Local Measurements ◽  
Euler Relation ◽  
Quantum Analog ◽  
Back Action ◽  
Classical Thermodynamics

In classical thermodynamics the Euler relation is an expression for the internal energy as a sum of the products of canonical pairs of extensive and intensive variables. For quantum systems the situation is more intricate, since one has to account for the effects of the measurement back action. To this end, we derive a quantum analog of the Euler relation, which is governed by the information retrieved by local quantum measurements. The validity of the relation is demonstrated for the collective dissipation model, where we find that thermodynamic behavior is exhibited in the weak-coupling regime.

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