<i>Probabilistic and Statistical Aspects of Quantum Theory</i>

Holevo, A. S.; Ballentine, L. E.

doi:10.1063/1.2916093

Cited by 1,300 publications

(2,450 citation statements)

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“…(Cf. Ali and Doebner 1976, Holevo 1982, Schroeck 1985. Grabowski (1989) has conjectured that the two definitions are equivalent (in the case when they are both applicable, i.e.…”

Section: Unsharp Observablesmentioning

confidence: 99%

The joint measurement problem

Uffink

1994

Int J Theor Phys

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“…(Cf. Ali and Doebner 1976, Holevo 1982, Schroeck 1985. Grabowski (1989) has conjectured that the two definitions are equivalent (in the case when they are both applicable, i.e.…”

Section: Unsharp Observablesmentioning

confidence: 99%

The joint measurement problem

Uffink

1994

Int J Theor Phys

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“…The ultra-precise estimation of parameters plays an important role in quantum metrology such as quantum frequency standards, measurement of gravity accelerations, clock synchronization [1][2][3][4][5], and so on. In the quantum metrology field, quantum Fisher information (QFI) [6][7][8][9][10][11][12][13] is a key concept, which gives a theoretical-achievable limit on the precision when estimating an unknown parameter ϕ. According to the quantum Cramér-Rao theorem [9,14], the mean square fluctuation of ϕ becomes…”

Section: Introductionmentioning

confidence: 99%

Enhancement of parameter-estimation precision in noisy systems by dynamical decoupling pulses

et al. 2013

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We present a scheme to enhance precision of parameter estimation (PPE) in noise systems via employing dynamical decoupling pulses. The exact analytical expression for the estimation precision of unknown parameter is obtained by using the transfer matrix and time-dependent Kraus operators. We show that PPE in noise systems can be preserved in the Heisenberg limit by controlling of dynamical decoupling pulses. It is found that larger number of pulses and longer reservoir correlation time can remarkably protect the PPE.

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“…A Gaussian channel is of form

𝒩 (ρ) = {Tr}_{E} [U (ρ \otimes ρ_{E}) U^{†}]

, where U is a Gaussian unitary, determined by a quadratic bosonic Hamiltonian, and ρ E is a Gaussian state . A channel

𝒩 (ρ) = {Tr}_{E} [U (ρ \otimes ρ_{E}) U^{†}]

is degradable, if it can be degraded to its conjugate

𝒩^{c} = = {Tr}_{B} [U (ρ \otimes ρ_{E}) U^{†}]

, that is, there is a map

𝒯 : ℋ_{B} \mapsto ℋ_{E}

such that

𝒩^{c} = 𝒯 \circ 𝒩

, where ∘ denotes the composition of operators.…”

Section: Quantum Channelmentioning

confidence: 99%

Performance analysis of quantum channels

Sun

2020

Quantum Engineering

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Summary We study the quality of service in quantum channels. We regard the quantum channel as a queueing system, and present queueing analysis of both the classical information transmission and quantum information transmission in the quantum channel. For the former, we link the analysis to the classical queueing model, and for the latter, we propose a new queueing model and investigate the limit queueing behavior. For both scenarios, we obtain tail distributions of the performance measures, that is, backlog, delay, and throughput.

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Probabilistic and Statistical Aspects of Quantum Theory

Cited by 1,300 publications

References 0 publications

The joint measurement problem

The joint measurement problem

Enhancement of parameter-estimation precision in noisy systems by dynamical decoupling pulses

Performance analysis of quantum channels

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