Erratum: Linear Optical Quantum Metrology with Single Photons: Exploiting Spontaneously Generated Entanglement to Beat the Shot-Noise Limit [Phys. Rev. Lett. 
<b>114</b>
, 170802 (2015)]

Motes, Keith R.; Olson, Jonathan P.; Rabeaux, Evan J.; Dowling, Jonathan P.; Olson, S. Jay; Rohde, Peter P.

doi:10.1103/physrevlett.118.079901

Cited by 27 publications

(45 citation statements)

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“…This result is significant that with a finite average particle number increasing the number of modes of light can enhance the coherence as a resource in quantum information processing. The advantages of multimode quantum optics have been recently interpreted in quantum metrology [21].…”

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confidence: 99%

Quantifying coherence in infinite-dimensional systems

et al. 2016

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We study the quantification of coherence in infinite dimensional systems, especially the infinite dimensional bosonic systems in Fock space. We show that given the energy constraints, the relative entropy of coherence serves as a well-defined quantification of coherence in infinite dimensional systems. Via using the relative entropy of coherence, we also generalize the problem to multi-mode Fock space and special examples are considered. It is shown that with a finite average particle number, increasing the number of modes of light can enhance the relative entropy of coherence. With the mean energy constraint, our results can also be extended to other infinite-dimensional systems.Quantum coherence arising from quantum superposition principle is a fundamental aspect of quantum physics [1]. The laser [2] and superfluidity [3] are examples of quantum coherence, whose effects are evident at the macroscopic scale. However, the framework of quantification of coherence has only been methodically investigated recently. The first attempt to address the classification of quantum coherence as physical resources by T. Baumgratz et. al., who have established a rigorous framework for the quantification of coherence based on distance measures in finite dimensional setting [4]. With such a fundational framework for coherence, one can find the appropriate distance measures to quantify coherence in a fixed basis by measuring the distance between the quantum stateρ and its nearest incoherent state. After the framework for coherence has been proposed, it receives increasing attentions. Up to now, all the results for quantifying the quantum coherence are assumed the finite dimensional setting, which is neither necessary nor desirable. In consideration of the relevant physical situations such as quantum optics states of light, it must require further investigations on infinite dimensional systems.In this paper, we aim to investigate the quantification of coherence in infinite dimensional systems. Specificly, we focus on the infinite dimensional bosonic systems in Fock space [10] which are used to describe the most notable quantum optics states of light [11] and Gaussian states [12][13][14]. We show that when considering the energy constraints, the relative en- * Electronic address: liyongm@snnu.edu.cn † Electronic address: hfan@iphy.ac.cn tropy of coherence serves as a well-defined quantification of coherence in infinite dimensional systems and the l 1 norm of coherence fails. Via using the relative entropy of coherence, we also generalize the results to multi-mode Fock space and special examples are considered. It is shown that with a finite average particle number, increasing the number of modes of light can enhance the relative entropy of coherence. Our results can also be extended to other infinite-dimensional systems with energy constraints. Our work investigates special and experimentally relevant cases and the most general and easy to use quantifiers, which is significant and essential in quantum physics as well as quantum opt...

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Quantifying coherence in infinite-dimensional systems

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“…An additional novel application is the study of computational models based on boson sampling [13][14][15][16][17][18][19][20][21][22][23]. Within this paradigm, a particular kind of optical circuit known as a multiport interferometer is fed with a nonclassical input of one photon in N out of M N ports.…”

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confidence: 99%

Quantum simulation with a boson sampling circuit

et al. 2016

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In this work we study a system that consists of 2M matter qubits that interact through a boson sampling circuit, i.e., an M -port interferometer, embedded in two different architectures. We prove that, under the conditions required to derive a master equation, the qubits evolve according to effective bipartite XY spin Hamiltonians, with or without local and collective dissipation terms. This opens the door to the simulation of any bipartite spin or hard-core boson models and exploring dissipative phase transitions as the competition between coherent and incoherent exchange of excitations. We also show that in the purely dissipative regime this model has a large number of exact and approximate dark states, whose structure and decay rates can be estimated analytically. We finally argue that this system may be used for the adiabatic preparation of boson sampling states encoded in the matter qubits.

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“…Single photons from down-conversion are often employed as building blocks of quantum light probes [20][21][22][23][24]. These are produced in pairs that, under standard conditions, share frequency entanglement as a consequence of energy conservation in the generation process [25][26][27][28][29][30][31][32][33] .…”

Section: Introductionmentioning

confidence: 99%

“…A relevant example is given by dispersion e ects in phase estimation: if the phase under observation depends on the optical frequency of a photonic probe, the adoption of broad bandwidths would result in dephasing [13,[17][18][19]. An e cient way to tackle this is a joint estimation of the mean phase together with the characteristic width of the dephasing.Single photons from down-conversion are often employed as building blocks of quantum light probes [20][21][22][23][24]. These are produced in pairs that, under standard conditions, share frequency entanglement as a consequence of energy conservation in the generation process [25][26][27][28][29][30][31][32][33] .…”

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Monitoring dispersive samples with single photons: the role of frequency correlations

Roccia¹,

Genoni²,

Mancino³

et al. 2017

Quantum Measurements and Quantum Metrology

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Abstract:The physics that governs quantum monitoring may involve other degrees of freedom than the ones initialised and controlled for probing. In this context we address the simultaneous estimation of phase and dephasing characterizing a dispersive medium, and we explore the role of frequency correlations within a photon pair generated via parametric down-conversion, when used as a probe for the medium. We derive the ultimate quantum limits on the estimation of the two parameters, by calculating the corresponding quantum Cramér-Rao bound; we then consider a feasible estimation scheme, based on the measurement of Stokes operators, and address its absolute performances in terms of the correlation parameters, and, more fundamentally, of the role played by correlations in the simultaneous achievability of the quantum Cramér-Rao bounds for each of the two parameters.Quantum light provides a gentler touch when observing fragile samples [1][2][3]. While typically all the information needed can be e ciently collected through a single parameter [4,5], there are instances in which two parameters or more are necessary to capture the physical process under study [6][7][8]. Such parameters might not be associated to compatible observables, hence trade-o may appear in attempts at simultaneously measuring them at the ultimate quantum precision, especially when restrictions are imposed on the resources or, in other words, to the available Hilbert space [7,[9][10][11][12][13][14][15] These trade-o can be interpreted, and often circumvented, by understanding the estimation process under the geometrical standpoint by identifying the physical carrier of information with their state vectors [13]; however, quantum probes only partly approximate such geometric entities, since these typically describe one degree of freedom at the time. The interaction with the sample might actually depend on other degrees of freedom, on which we might have limited control. A relevant example is given by dispersion e ects in phase estimation: if the phase under observation depends on the optical frequency of a photonic probe, the adoption of broad bandwidths would result in dephasing [13,[17][18][19]. An e cient way to tackle this is a joint estimation of the mean phase together with the characteristic width of the dephasing.Single photons from down-conversion are often employed as building blocks of quantum light probes [20][21][22][23][24]. These are produced in pairs that, under standard conditions, share frequency entanglement as a consequence of energy conservation in the generation process [25][26][27][28][29][30][31][32][33] . In this article we calculate what impact such frequency correlation might have on the joint estimation of phase and dephasing in dispersive elements. Our study found that di erences arise if one considers correlated and anticorrelated photon pairs, particularly showing how anticorrelated photons result as more interesting resources to be employed in such noisy phase estimation problem.The manuscript is organized as follows...

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Erratum: Linear Optical Quantum Metrology with Single Photons: Exploiting Spontaneously Generated Entanglement to Beat the Shot-Noise Limit [Phys. Rev. Lett. 114 , 170802 (2015)]

Abstract: This corrects the article DOI: 10.1103/PhysRevLett.114.170802.

Cited by 27 publications

References 1 publication

Quantifying coherence in infinite-dimensional systems

Quantifying coherence in infinite-dimensional systems

Quantum simulation with a boson sampling circuit

Monitoring dispersive samples with single photons: the role of frequency correlations

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