Non-Gaussianity of multiple photon-subtracted thermal states in terms of compound-Poisson photon number distribution parameters: theory and experiment

Avosopiants, G. V.; Katamadze, K. G.; Bogdanov, Yu. I.; Bantysh, B. I.; Kulik, S. P.

doi:10.1088/1612-202x/aabed6

Cited by 10 publications

(7 citation statements)

References 39 publications

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“…A lasing state with an exact Poisson distribution can only be generated by photon subtraction, if the initial intensity is also scaled according to the number of subtractions. Our results might foster the interpretation of recent experiments on (multi)photon subtracted states [18,19,33,34,41] and demonstrate that g (m) → 1, for all m is not equivalent to a convergence to a Poisson distribution [42].…”

Section: Discussionsupporting

confidence: 79%

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Differences and similarities between lasing and multiple-photon subtracted states

Lettau

Leymann

2019

Phys. Rev. A

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We examine the effect that the subtraction of multiple photons has on the statistical characteristics of a light field. In particular, we are interested in the question whether an initial state transforms into a lasing state, i.e., a (phase diffused) coherent state, after infinitely many photon subtractions. This question is discussed in terms of the Glauber P-representation P (α), the photon number distribution P [n], and the experimentally relevant autocorrelation functions g (m) . We show that a thermal state does not converge to a lasing state, although all of its autocorrelation functions at zero delay time converge to one. This contradiction is resolved by the analysis of the involved limits, and a general criterion for an initial state to reach at least such a pseudo-lasing state (g (m) → 1) is derived, revealing that they can be generated from a large class of initial states.

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Section: Discussionsupporting

confidence: 79%

“…This question becomes relevant in the light of the recent theoretical interest in PSSs [13], (multi) photon subtraction experiments eg. [18,33,34] and in the context of the realization of probabilistic amplifiers [35][36][37]. To provide an answer to this question that goes beyond the numerical hints provided in Fig.…”

Section: Introductionmentioning

confidence: 99%

Differences and similarities between lasing and multiple-photon subtracted states

Lettau

Leymann

2019

Phys. Rev. A

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“…The limiting factor of quantum tomography is the presence of systematic errors of various nature [1][2][3][4][5][6][7][8][9][10]. These errors are mainly due to the fact that the theoretical measurement model does not correspond to the real measurements.…”

Section: Introductionmentioning

confidence: 99%

Quantum tomography of noisy ion-based qudits

Bantysh¹,

Bogdanov²

2020

Laser Phys. Lett.

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Quantum tomography makes it possible to obtain a comprehensive information about certain logical elements of a quantum computer. In this regard, it is a promising tool for debugging quantum computers. The practical application of tomography, however, is still limited by systematic measurement errors. Their main source are errors in the quantum state preparation and measurement procedures. In this work, we investigate the possibility of suppressing these errors in the case of trapped-ion-based qudits. First, we will show that one can construct a quantum tomography protocol that contains no more than a single quantum operation in each measurement circuit. Such a protocol is more robust to errors than the measurements in mutually unbiased bases, where the number of operations increases in proportion to the square of the qudit dimension. After that, we will demonstrate the possibility of determining and accounting for the state initialization and readout errors. Together, the measures described can significantly improve the accuracy of quantum tomography of real ion-based qudits.

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Section: Introductionmentioning

confidence: 99%

Quantum tomography of noisy ion-based qudits

Bantysh,

Bogdanov

2020

Preprint

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Quantum tomography makes it possible to obtain comprehensive information about certain logical elements of a quantum computer. In this regard, it is a promising tool for debugging quantum computers. The practical application of tomography, however, is still limited by systematic measurement errors. Their main source are errors in the quantum state preparation and measurement procedures. In this work, we investigate the possibility of suppressing these errors in the case of ionbased qudits. First, we will show that one can construct a quantum measurement protocol that contains no more than a single quantum operation in each measurement circuit. Such a protocol is more robust to errors than the measurements in mutually unbiased bases, where the number of operations increases in proportion to the square of the qudit dimension. After that, we will demonstrate the possibility of determining and accounting for the state initialization and readout errors. Together, the measures described can significantly improve the accuracy of quantum tomography of real ionbased qudits.

show abstract

Non-Gaussianity of multiple photon-subtracted thermal states in terms of compound-Poisson photon number distribution parameters: theory and experiment

Cited by 10 publications

References 39 publications

Differences and similarities between lasing and multiple-photon subtracted states

Differences and similarities between lasing and multiple-photon subtracted states

Quantum tomography of noisy ion-based qudits

Quantum tomography of noisy ion-based qudits

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