Einstein-Podolsky-Rosen steering in two-sided sequential measurements with one entangled pair

Zhu, Jie; Hu, Meng-Jun; Guo, Guang‐Can; Li, Chuan‐Feng; Zhang, Yongsheng

doi:10.1103/physreva.105.032211

Cited by 30 publications

(18 citation statements)

References 37 publications

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“…In what follows we numerically analyze the EPR steering properties of the ground-state wave function of the superradiant phase in terms of the analytical expressions in Eqs. (30) and (31) for the case of ω 2 1 > ω 2 3 + 4ηω 3 with sin 2θ > 0 and cos 2θ < 0, respectively.…”

Section: Epr Steering Between Photons and Atoms In The Superadiant Phasementioning

confidence: 99%

Einstein-Podolsky-Rosen steering of quantum phases in a cavity Bose-Einstein condensate with a single impurity

Jia¹,

Li²,

Jiao³

et al. 2022

Preprint

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We study Einstein-Podolsky-Rosen (EPR) steering properties of quantum phases in the generalized Dicke model (GDM) generated by a cavity Bose-Einstein condensate (BEC) doped with a single impurity. It is shown that the normal and superradiant phases of the GDM exhibit much rich EPR steerability. In the normal phase, there exist one-way EPR steering from the cavity field (condensed atoms) to condensed atoms (the cavity field ). In the superradiant phase, there is either one-way or two-way EPR steering for the cavity field and condensed atoms. It is found that the single impurity can act as a single-atom switch of the EPR steering to control the steering direction of one-way EPR steering and the transition between one-way and two-way EPR steering through switching on or off the impurity-BEC coupling. It is proved that the EPR steering parameters can witness the quantum phase transition (QPT) occurrence through the sudden change of the EPR steering parameters at the critical point of the QPT. Our results open a new way to manipulate macroscopic EPR steering and witness the QPT between the normal phase and the superradiant phase in the GDM through a microscopic impurity atom.

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Section: Epr Steering Between Photons and Atoms In The Superadiant Phasementioning

confidence: 99%

Einstein-Podolsky-Rosen steering of quantum phases in a cavity Bose-Einstein condensate with a single impurity

Jia¹,

Li²,

Jiao³

et al. 2022

Preprint

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show abstract

“…Subsequently, non-locality sharing in sequential measurements under different entanglement resources and non-locality inequalities have been studied [19][20][21][22][23][24][25][26], and theoretically, they all can achieve unlimited random number generation. The measurements in sequential scenarios usually involve POVMs.…”

Section: Introductionmentioning

confidence: 99%

Quantifying the intrinsic randomness in sequential measurements

Liu,

Wang,

Han

et al. 2024

New J. Phys.

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In the standard Bell scenario, when making a local projective measurement on each system component, the amount of randomness generated is restricted. However, this limitation can be surpassed through the implementation of sequential measurements. Nonetheless, a rigorous definition of random numbers in the context of sequential measurements is yet to be established, except for the lower quantification in device-independent scenarios. In this paper, we provide the definition of quantum intrinsic randomness in sequential measurements and quantify the randomness in the Collins-Gisin-Linden-Massar-Popescu (CGLMP) inequality sequential scenario. Initially, we investigate the quantum intrinsic randomness of the mixed states under sequential projective measurements and the intrinsic randomness of the sequential non-projective measurements under pure states. Naturally, we rigorously define quantum intrinsic randomness under sequential non-projective measurement for arbitrary quantum states. Furthermore, we apply our method to one-Alice and two-Bobs sequential measurement scenarios and quantify the quantum intrinsic randomness of the maximally entangled state and maximally violated state by giving an extremal decomposition. Finally, using the sequential NPA hierarchy in the device-independent scenario, we derive lower bounds on the quantum intrinsic randomness of the maximally entangled state and maximally violated state.

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“…In Ref. [33], using entangled photon pairs, the authors experimentally verified the case of two Alices and two Bobs where Alice (1) and Bob (1) performed optimal weak measurements and Alice (2) and Bob (2) performed projective measurements. To adopt the same measurement strength for Alice (1) and Bob (1) , they observed double EPR steering simultaneously and showed that double Bell-CHSH inequality violations cannot be obtained.…”

Section: Introductionmentioning

confidence: 99%

Quantum Bell nonlocality cannot be shared under a special kind of bilateral measurements for high-dimensional quantum states

Zhang

Luo

Huang

2022

Quantum Inf Process

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Quantum Bell nonlocality is an important quantum phenomenon. Recently, the shareability of Bell nonlocality under unilateral measurements has been widely studied. In this study, we consider the shareability of quantum Bell nonlocality under bilateral measurements. Under a specific class of projection operators, we find that quantum Bell nonlocality cannot be shared for a limited number of times, as in the case of unilateral measurements. Our proof is analytical and our measurement strategies can be generalized to higher dimension cases.

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Einstein-Podolsky-Rosen steering in two-sided sequential measurements with one entangled pair

Cited by 30 publications

References 37 publications

Einstein-Podolsky-Rosen steering of quantum phases in a cavity Bose-Einstein condensate with a single impurity

Einstein-Podolsky-Rosen steering of quantum phases in a cavity Bose-Einstein condensate with a single impurity

Quantifying the intrinsic randomness in sequential measurements

Quantum Bell nonlocality cannot be shared under a special kind of bilateral measurements for high-dimensional quantum states

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