Cloning of a quantum measurement

Bisio, Alessandro; D’Ariano, Giacomo Mauro; Perinotti, Paolo; Sedlák, Michal

doi:10.1103/physreva.84.042330

Cited by 22 publications

(37 citation statements)

References 16 publications

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“…These problems may occur in the basic scenario of quantum state discrimination, where two Gaussian states must be optimally distinguished, or in the setting of quantum channel discrimination, where two Gaussian channels must be distinguished by assuming Gaussian sources and input energy constraints. In particular, the latter formulation is very important in a variety of quantum technology protocols, such as remote quantum sensing of targets, i.e., quantum illumination [47][48][49], and quantum reading of classical data from optical memories [50][51][52][53][54][55].…”

Section: Multimode Quantum Hypothesis Testingmentioning

confidence: 99%

Quantum Fidelity for Arbitrary Gaussian States

2015

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We derive a computable analytical formula for the quantum fidelity between two arbitrary multimode Gaussian states which is simply expressed in terms of their first-and second-order statistical moments. We also show how such a formula can be written in terms of symplectic invariants and used to derive closed forms for a variety of basic quantities and tools, such as the Bures metric, the quantum Fisher information and various fidelity-based bounds. Our result can be used to extend the study of continuous-variable protocols, such as quantum teleportation and cloning, beyond the current one-mode or two-mode analyses, and paves the way to solve general problems in quantum metrology and quantum hypothesis testing with arbitrary multimode Gaussian resources.

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Section: Multimode Quantum Hypothesis Testingmentioning

confidence: 99%

Quantum Fidelity for Arbitrary Gaussian States

2015

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“…Here we find that the ultimate error probability for discriminating two teleportation-covariant channels is reached without adaptiveness and determined by their Choi matrices. Applications are for protocols of quantum sensing, such as quantum reading [35][36][37][38][39][40][41][42] and illumination [43][44][45][46], and for the resolution of extremely-close temperatures [47,48].Adaptive protocols for quantum parameter estimation.-The most general adaptive protocol for quantum parameter estimation can be formulated as follows. Let us consider a box containing a quantum channel E θ characterized by an unknown classical parameter θ.…”

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confidence: 99%

Ultimate Precision of Adaptive Noise Estimation

2017

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We consider the estimation of noise parameters in a quantum channel, assuming the most general strategy allowed by quantum mechanics. This is based on the exploitation of unlimited entanglement and arbitrary quantum operations, so that the channel inputs may be interactively updated. In this general scenario we draw a novel connection between quantum metrology and teleportation. In fact, for any teleportation-covariant channel (e.g., Pauli, erasure, or Gaussian channel), we find that adaptive noise estimation cannot beat the standard quantum limit, with the quantum Fisher information being determined by the channel's Choi matrix. As an example, we establish the ultimate precision for estimating excess noise in a thermal-loss channel which is crucial for quantum cryptography. Because our general methodology applies to any functional which is monotonic under trace-preserving maps, it can be applied to simplify other adaptive protocols, including those for quantum channel discrimination. Setting the ultimate limits for noise estimation and discrimination paves the way for exploring the boundaries of quantum sensing, imaging and tomography.

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“…A possible methodology to exploit is that of channel simulation recently developed in quantum metrology [5,47,48] after successful applications in quantum and private communications [49,50]. It would also be very interesting to analyze the explicit performance of correlatedthermal sources for practical tasks of quantum hypothesis testing [51][52][53][54][55][56][57][58][59], such as the quantum reading of optical memories [60][61][62][63][64][65][66][67][68][69][70][71][72][73] and the quantum illumination of targets [74][75][76][77][78][79][80][81].…”

Section: Discussionmentioning

confidence: 99%

Thermal quantum metrology in memoryless and correlated environments

Spedalieri¹,

Lupo²,

Braunstein³

et al. 2018

Quantum Sci. Technol.

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In bosonic quantum metrology, the estimate of a loss parameter is typically performed by means of pure states, such as coherent, squeezed or entangled states, while mixed thermal probes are discarded for their inferior performance. Here we show that thermal sources with suitable correlations can be engineered in such a way to approach, or even surpass, the error scaling of coherent states in the presence of general Gaussian decoherence. Our findings pave the way for practical quantum metrology with thermal sources in optical instruments (e.g., photometers) or at different wavelengths (e.g., far infrared, microwave or X-ray) where the generation of quantum features, such as coherence, squeezing or entanglement, may be extremely challenging.

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Cloning of a quantum measurement

Cited by 22 publications

References 16 publications

Quantum Fidelity for Arbitrary Gaussian States

Quantum Fidelity for Arbitrary Gaussian States

Ultimate Precision of Adaptive Noise Estimation

Thermal quantum metrology in memoryless and correlated environments

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