Entanglement monotones connect distinguishability and predictability
نویسندگان
چکیده
Distinguishability and predictability appear in different complementarity relations. Englert Bergou pointed out the possible connection among distinguishability, predictability, entanglement. They conjectured that an entanglement measure was hidden between measures of distinguishability predictability. Qureshi connected these quantities for a particular trio measures. In this letter, we define new entropic suggest as difference it from literature. An monotone is defined largest value corresponding provided satisfies criteria already established Our results formally connect with without appealing to specific
منابع مشابه
Entanglement Monotones and Measures: An Overview
Quantum information theory and quantum computing are theoritical basis of quantum computers. Thanks to entanglement, quantum mechanical systems are provisioned to realize many information processing problems faster than classical counterparts. For example, Shor’s factorization algorithm, Grover’s search algorithm, quantum Fourrier transformation, etc. Entanglement, is the theoretical basis prov...
متن کاملWehrl entropy, Lieb conjecture, and entanglement monotones
We propose to quantify the entanglement of pure states of N3N bipartite quantum systems by defining its Husimi distribution with respect to SU(N)3SU(N) coherent states. The Wehrl entropy is minimal if and only if the analyzed pure state is separable. The excess of the Wehrl entropy is shown to be equal to the subentropy of the mixed state obtained by partial trace of the bipartite pure state. T...
متن کاملEstimating entanglement monotones with a generalization of the Wootters formula.
Entanglement monotones, such as the concurrence, are useful tools to characterize quantum correlations in various physical systems. The computation of the concurrence involves, however, difficult optimizations and only for the simplest case of two qubits a closed formula was found by Wootters [Phys. Rev. Lett. 80, 2245 (1998)]. We show how this approach can be generalized, resulting in lower bo...
متن کاملProperties of Entanglement Monotones for Three-Qubit Pure States
Various parameterizations for the orbits of three-qubit pure states are analyzed. The interconvertibility, symmetry properties, parameter ranges, calculability and behavior under measurement are looked at. It is shown that the entanglement monotones of any multipartite pure state uniquely determine the orbit of that state under local unitary transformations. As a result there must be an entangl...
متن کاملConstructing N-qubit entanglement monotones from antilinear operators
We present a method to construct entanglement measures for pure states of multipartite qubit systems. The key element of our approach is an antilinear operator that we call comb in reference to the hairy-ball theorem. For qubits (or spin 1/2) the combs are automatically invariant under SL(2,C). This implies that the filters obtained from the combs are entanglement monotones by construction. We ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters
سال: 2022
ISSN: ['1873-2429', '0375-9601']
DOI: https://doi.org/10.1016/j.physleta.2021.127875