Quantum coherence of multipartite W-state in a Schwarzschild spacetime

Wu, Shu-Min; Li, Zuochen; Zeng, Hao‐Sheng

doi:10.1209/0295-5075/129/40002

Cited by 15 publications

(10 citation statements)

References 35 publications

(46 reference statements)

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“…In Ref. [73] the quantum coherence of multipartite Wstates for Dirac field has been calculated in terms of the Kruskal modes in certain limiting cases. But in our work, we consider multipartite W-states of bosonic modes and compute quantum coherence in a very general setting where arbitrary number of qubits are being accelerated.…”

Section: Resultsmentioning

confidence: 99%

Accessible and inaccessible quantum coherence in relativistic quantum systems

Harikrishnan,

Jambulingam,

Rohde

et al. 2021

Preprint

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The quantum coherence of a multipartite system is investigated when some of the parties are moving with constant acceleration. Due to relativistic motion the quantum coherence is divided into two parts as accessible and inaccessible coherence. First we investigate tripartite systems, considering both GHZ and W-states. We find that the quantum coherence of these states does not vanish in the limit of infinite acceleration, rather asymptoting to a non-zero value. These results hold for both single-and two-qubit relativistic motion. In the GHZ and W states the coherence is distributed as correlations between the qubits and is known as global coherence. But quantum coherence can also exist due to the superposition within a qubit, the local coherence. To study the properties of local coherence we investigate separable state. The GHZ state, W-state and separable states contain only one type of coherence. Next we consider the W W and star states in which both local and global coherences coexist. We find that under relativistic motion both local and global coherence show similar qualitative behaviour. Finally we derive analytic expressions for the quantum coherence of N -partite GHZ and W states where n < N qubits are subject to relativistic motion. We find that the quantum coherence of a multipartite GHZ state falls exponentially with the number of accelerated qubits, whereas for multipartite W-states the quantum coherence decreases only polynomially. We conclude that W-states are more robust to Unruh decoherence and discuss some potential applications in satellite-based quantum communication and black hole physics.

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Section: Resultsmentioning

confidence: 99%

Accessible and inaccessible quantum coherence in relativistic quantum systems

Harikrishnan,

Jambulingam,

Rohde

et al. 2021

Preprint

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“…(11) and (12) according to suggestion of Damour and Ruffini, we obtain a complete basis of positive energy modes, i.e., the Kruskal modes [51]. Then, we can use Schwarzschild mode and Kruskal mode to expand the Dirac field, respectively, leading to the Bogoliubov transformations between annihilation operator and creation operator under the Schwarzschild and Kruskal coordinates [52,53]. After properly normalizing the state vector, the vacuum state and excited state of the Kruskal particle in the single-mode approximation are given by…”

Section: Quantization Of Dirac Fields In a Schwarzschild Black Holementioning

confidence: 99%

Genuine tripartite nonlocality and entanglement in curved spacetime

Zeng

2022

Eur. Phys. J. C

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We study the genuine tripartite nonlocality (GTN) and the genuine tripartite entanglement (GTE) of Dirac fields in the background of a Schwarzschild black hole. We find that the Hawking radiation degrades both the physically accessible GTN and the physically accessible GTE. The former suffers from “sudden death” at some critical Hawking temperature, and the latter approaches to the nonzero asymptotic value in the limit of infinite Hawking temperature. We also find that the Hawking effect cannot generate the physically inaccessible GTN, but can generate the physically inaccessible GTE for fermion fields in curved spacetime. These results show that on the one hand the GTN cannot pass through the event horizon of black hole, but the GTE do can, and on the other hand the surviving physically accessible GTE and the generated physically inaccessible GTE for fermions in curved spacetime are all not nonlocal. Some monogamy relations between the physically accessible GTE and the physically inaccessible GTE are found.

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“…However, under the influence of Unruh effect, these two resources also have different behaviors. For example, the bosonic coherence of both the tripartite GHZ and W states reduces more slowly compared with the case of fermionic fields [33,36], with the increasing of the observer's accelerations. In contrast, the fermionic entanglement is more robust against the Unruh effect than the case of bosonic fields [15,21,25].…”

Section: Discussionmentioning

confidence: 99%

Quantum coherence and distribution of N-partite bosonic fields in noninertial frame

Wu,

Zeng,

Cao

2022

Preprint

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We study the quantum coherence and its distribution of N -partite GHZ and W states of bosonic fields in the noninertial frames with arbitrary number of acceleration observers. We find that the coherence of both GHZ and W state reduces with accelerations and freezes in the limit of infinite accelerations. The freezing value of coherence depends on the number of accelerated observers. The coherence of N -partite GHZ state is genuinely global and no coherence exists in any subsystems. For the N -partite W state, however, the coherence is essentially bipartite types, and the total coherence is equal to the sum of coherence of all the bipartite subsystems.

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Quantum coherence of multipartite W-state in a Schwarzschild spacetime

Cited by 15 publications

References 35 publications

Accessible and inaccessible quantum coherence in relativistic quantum systems

Accessible and inaccessible quantum coherence in relativistic quantum systems

Genuine tripartite nonlocality and entanglement in curved spacetime

Quantum coherence and distribution of N-partite bosonic fields in noninertial frame

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