Casimir Energy in Hartle–Hawking State

Fang, Heng-Zhong; Zhu, Jin

doi:10.1088/0256-307x/25/8/016

Cited by 2 publications

(2 citation statements)

References 18 publications

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“…We have found that the integrand found in the tunneling method is always related to the entropy as ∂S ∂m dm [15]. This relation is not obvious from the tunneling picture alone, but with the connection to thermodynamics established the reason is just the one given by Hawking when he wrote down the same formula in 1976 [11].…”

Section: Some Consequences Of the Tunneling Formalismmentioning

confidence: 89%

Black hole thermodynamics and the factor of 2 problem

Pilling

2008

Physics Letters B

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We show that the recent tunneling formulas for black hole radiation in static, spherically symmetric spacetimes follow as a consequence of the first law of black hole thermodynamics and the area-entropy relation based on the radiation temperature. A tunneling formula results even if the radiation temperature is different from the one originally derived by Hawking and this is discussed in the context of the recent factor of 2 problem. In particular, it is shown that if the radiation temperature is higher than the Hawking temperature by a factor of two, thermodynamics then leads to a tunneling formula which is exactly the one recently found to be canonically invariant.

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Section: Some Consequences Of the Tunneling Formalismmentioning

confidence: 89%

Black hole thermodynamics and the factor of 2 problem

Pilling

2008

Physics Letters B

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“…[3] In 2008, based on the phase shifts, Ref. [4] presented a quantum algorithm, which depicted the relation among the success probability, complexity, arbitrary phase shifts and the number of solutions.…”

Section: Introductionmentioning

confidence: 99%

General Quantum Meet-in-the-Middle Search Algorithm Based on Target Solution of Fixed Weight

Bao

Wang

et al. 2016

Commun. Theor. Phys.

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Similar to the classical meet-in-the-middle algorithm, the storage and computation complexity are the key factors that decide the efficiency of the quantum meet-in-the-middle algorithm. Aiming at the target vector of fixed weight, based on the quantum meet-in-the-middle algorithm, the algorithm for searching all n-product vectors with the same weight is presented, whose complexity is better than the exhaustive search algorithm. And the algorithm can reduce the storage complexity of the quantum meet-in-the-middle search algorithm. Then based on the algorithm and the knapsack vector of the Chor-Rivest public-key crypto of fixed weight d, we present a general quantum meet-in-the-middle search algorithm based on the target solution of fixed weight, whose computational complexity isAnd the optimal value of k is given. Compared to the quantum meet-in-the-middle search algorithm for knapsack problem and the quantum algorithm for searching a target solution of fixed weight, the computational complexity of the algorithm is lower. And its storage complexity is smaller than the quantum meet-in-the-middle-algorithm.

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Casimir Energy in Hartle–Hawking State

Cited by 2 publications

References 18 publications

Black hole thermodynamics and the factor of 2 problem

Black hole thermodynamics and the factor of 2 problem

General Quantum Meet-in-the-Middle Search Algorithm Based on Target Solution of Fixed Weight

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