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Oct 22, 2023 · For our probability-based baseline, we use a metric we call pseudo-entropy: an approximation to the Shannon entropy, adapted to settings like the OpenAI API ...
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Apr 29, 2024 · Metric Pseudoentropy: Characterizations, Transformations and Applications. Information Theoretic Security | 1 Jan 2015. Gambling, Computational Information ...
May 14, 2024 · In the present paper we discuss various aspects of the time evolution operator regarded as a density operator and its entanglement structures which involve ...
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Jan 30, 2024 · To construct the transition matrix, we utilize two nonorthogonal locally excited states that are created by the application of different descendant operators to ...
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Feb 3, 2024 · We study the late-time behaviors of pseudo-(Rényi) entropy of locally excited states in rational conformal field theories (RCFTs).
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Dec 28, 2023 · In a typical complexity-theoretic application, F consists of Boolean circuits of some polynomial size in the length n = log |X | of inputs and ϵ = 1/poly(n). In ...
Jun 28, 2024 · In physics, the von Neumann entropy, named after John von Neumann, is an extension of the concept of Gibbs entropy from classical statistical mechanics to ...
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Jun 18, 2024 · This effectively transforms existence proofs to PPAD-membership proofs, and consequently establishes the existence of solutions described by rational numbers.
Oct 12, 2023 · Existing quantum compilers optimize quantum circuits by applying circuit transformations designed by experts. This approach requires significant manual ...
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Jun 27, 2024 · We show the pseudo entropy amplification phenomenon by exploring the maximum values of PREE and REE of locally excited states (1.8). These research findings ...
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