Inheriting the Revolution

Appleby, Joyce

doi:10.4159/9780674020252

Cited by 156 publications

(10 citation statements)

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“…The authors in ref. [18] also showed that the retrodictive and predictive fidelities reach their optimal values of s = 0.5 when the Krauss operators of the measurement POVM have a spin-coherent form defined using spin coherent states. A physical model for such a measurement was given in [19].…”

Section: Qubit Observablesmentioning

confidence: 92%

“…We show that for a symmetric joint measurement where the two marginal probability distributions are equally close to the corresponding sharp probability distributions, the two measures of closeness are proportional. Error-disturbance relationship ( [18]) does not seem to hold for the measure based on the Heisenberg picture for our choice of the pointer observable. Numerical analysis is performed for the two observable case to show the validity of measurement uncertainty relations, transition from POVM to projection-valued measurement and also the effect of the joint measurement on the system.…”

Section: Introductionmentioning

confidence: 87%

“…In a similar spirit, for the case of approximate joint measurement of qubit observables through an Arthur-Kelly like process fidelities were defined in the Heisenberg picture that would provide a notion of direction of spin [18] of the system. As in the previous case, distinction was made between errors of retrodiction and prediction.…”

Section: Qubit Observablesmentioning

confidence: 99%

“…As in the previous case, distinction was made between errors of retrodiction and prediction. In this paper we consider only the type 1 measurements considered by the author of [18] . We next consider the fidelities as defined by the authors.…”

Section: Qubit Observablesmentioning

confidence: 99%

“…No measurement uncertainties were derived in [18] and the question was left open for further investigation.…”

Section: Qubit Observablesmentioning

confidence: 99%

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Approximate joint measurement of qubit observables through an Arthur–Kelly model

Pal¹,

Ghosh²

2011

J. Phys. A: Math. Theor.

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We consider joint measurement of two and three unsharp qubit observables through an Arthur-Kelly type joint measurement model for qubits. We investigate the effect of initial state of the detectors on the unsharpness of the measurement as well as the post-measurement state of the system. Particular emphasis is given on a physical understanding of the POVM to PVM transition in the model and entanglement between system and detectors.Two approaches for characterizing the unsharpness of the measurement and the resulting measurement uncertainty relations are considered.The corresponding measures of unsharpness are connected for the case where both the measurements are equally unsharp. The connection between the POVM elements and symmetries of the underlying Hamiltonian of the measurement interaction is made explicit and used to perform joint measurement in arbitrary directions. Finally in the case of three observables we derive a necessary condition for the approximate joint measurement and use it show the relative freedom available when the observables are non-orthogonal.

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Section: Qubit Observablesmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 87%

Section: Qubit Observablesmentioning

confidence: 99%

Section: Qubit Observablesmentioning

confidence: 99%

“…No measurement uncertainties were derived in [18] and the question was left open for further investigation.…”

Section: Qubit Observablesmentioning

confidence: 99%

See 3 more Smart Citations

Approximate joint measurement of qubit observables through an Arthur–Kelly model

Pal¹,

Ghosh²

2011

J. Phys. A: Math. Theor.

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Bibliography

2007

A Companion to the Civil War and Reconstruction

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The Market Revolution

Larson¹

2007

A Companion to the Civil War and Reconstruction

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The purpose of this course is to introduce graduate students to some of the most significant scholarly works on the Market Revolution, ca. 1815-1850. Students will critically analyze historical monographs through class discussion and written reviews and will write either a research paper based on primary and secondary sources or a historiographical paper.The learning outcomes for this course are that through these readings and written assignments you will be able to define the Market Revolution, explain the diverse manifestations of the Market Revolution, and understand the crucial place of the Market Revolution in American History.

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Inheriting the Revolution

Cited by 156 publications

References 0 publications

Approximate joint measurement of qubit observables through an Arthur–Kelly model

Approximate joint measurement of qubit observables through an Arthur–Kelly model

Bibliography

The Market Revolution

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