Quantum information

Horodecki, Ryszard

doi:10.48550/arxiv.2103.07712

Cited by 2 publications

(2 citation statements)

References 289 publications

(362 reference statements)

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“…For instance, information of matters that are lost in black holes will be deleted as the Hawking Radiation flows from the Event Horizon, only bringing the data of angular momentum, charges and total mass out in the particles. There are more details in this field [12], for example the quantum bit, which state could be written as |𝛹𝛹⟩ = 𝑎𝑎|0⟩ + 𝑏𝑏|1⟩ (5) where a and b are numbers in complex forms, and |Ψ⟩ belongs to the square of C which is the twodimensional Hilbert Space.…”

Section: The State-of-art Theorem 41 Quantum Informationmentioning

confidence: 99%

Recent outcomes and the state-of-art detection scenarios of black holes

Chang¹,

Lyu²,

Meng³

et al. 2022

HSET

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Black holes are a hidden secret in humans’ heart. This paper will basically focus on the current status of observing black holes as well as the state-of-art detection schemes. Specifically, we will discuss the classifications, theorems of black holes and also the problems encountered by modern knowledge. According to the analysis, the basic types of black holes and the way of detection of black holes are demonstrated. Meanwhile, shows the theories of black holes used in research and some theories about black holes with quantum and holographic image. Overall, these results shed light on guiding the future researches on black hole.

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Section: The State-of-art Theorem 41 Quantum Informationmentioning

confidence: 99%

Recent outcomes and the state-of-art detection scenarios of black holes

Chang¹,

Lyu²,

Meng³

et al. 2022

HSET

View full text Add to dashboard Cite

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“…

量子非局域关联最早由 EPR 佯谬 [1] 引入，揭示了量子理论与经典局域实在论之间的矛盾。由于量子非局域关联是量子理论最基本的特性之一，其也成为了量子信息学发展的关键基础 [2] 。近年来，量子非局域性关联在量子通信 [3] ，量子计算 [4] 和量子密码学 [5] 等中均发挥了重要的应用价值。 1964 年，Bell [6] 提出了著名的 Bell 不等式，可用于对量子非局域关联进行检验。而对于两比特量子纠缠态，利用 Clauser 等人 [7] 提出的 Clauser-Horne-Shimony-Holt (CHSH)不等式，可更加方便地进行量子非局域关联的实验检验研究。在 CHSH 不等式检验方案中，经典局域论预言 CHSH 不等式的检验上限为 max 2 c S − = ，而量子理论可以使该上限值进一步达到 max 2 2 q S − = 。因此，在量子非局域关联的检验研究中，只需要通过判断 CHSH 不等式检验值 environment for "X" state with density matrix W ρ .

…”

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Quantum nonlocality testing of the “X” state based on the CHSH inequality in Markov environment

Bai-yun¹,

Gu²,

Shi-min³

et al. 2023

Acta Phys. Sin.

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Quantum nonlocality is one of the most fundamental characteristics of quantum theory. As a commonly used quantum state generated in experiments, the "X" state is a typical one in the research of open quantum systems, since it still maintains the stability of the "X" shape during the evolution. Using the Clauser-Horne-Harmony-Holt (CHSH) inequality, the quantum nonlocality testing of two "X" states associated with local transformation operations is studied under the Markov environment. The results show that in the phase damping environment, the two "X" states have the same CHSH inequality testing results with the increasing of the evolution time. Moreover, the maximum of quantum nonlocality test of the two "X" states will decrease nonlinearly. When 0.78<F<1, the maximum value Sm of testing quantum nonlocality will gradually transition from Sm>2 to Sm<2 with the increasing of the evolution time of the two "X" states, and the research on the quantum nonlocality test cannot be successfully carried out. In the amplitude damping environment, using the "X" state obtained by the local transformation operation have a longer evolution time for the successfully quantum nonlocality testing when F>1. In particular, when F=1, the "X" state with the density matrix $\rho _W$ cannot successfully perform the quantum nonlocality testing after the evolution time $\Gamma t > 0.22$. For the "X" state with density matrix ${\tilde \rho _W}$, the quantum nonlocality testing cannot be performed until the evolution time $\Gamma t > 0.26$. This results show that the local transformation operation of the "X" state is more conducive to the quantum nonlocality testing based on the CHSH inequality. Finally, the fidelity ranges of successfully testing the quantum nonlocality of the two "X" states in phase and amplitude damping environments are given in detail. The results show that, on the premise of quantum nonlocality testing successfully, the two types of "X" states evolving in the phase damping environment have the large range of valid fidelity. Meanwhile, at the same evolution time, the local transformation operation is helpful to improve the fidelity range of quantum nonlocality test in amplitude damping environment for "X" state with density matrix ${\rho _W}$.

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Quantum information

Abstract: In memory of Prof. Roman S. Ingarden on the centenary of his birth ". . . the quantum information theory is not only scientifically interesting subject, but is a practical need " -R.S. Ingarden

Cited by 2 publications

References 289 publications

Recent outcomes and the state-of-art detection scenarios of black holes

Recent outcomes and the state-of-art detection scenarios of black holes

Quantum nonlocality testing of the “X” state based on the CHSH inequality in Markov environment

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