Contextuality as a Precondition for Quantum Entanglement

Plávala, Martin; Gühne, Otfried

doi:10.1103/physrevlett.132.100201

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2024

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“…This new form of information, based on the principles of quantum mechanics, aims to explore the transmission and processing of information and is considered an invaluable physical resource. Quantum resource theory [6][7][8][9] provides a broad and effective theoretical framework for investigating the quantum properties of quantum mechanics, such as quantum entanglement [10][11][12][13][14][15], quantum discord [16][17][18][19][20][21][22], and quantum coherence [23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Optimal convex approximations of qubit states under Pauli distance

Zhang,

Shi,

2024

Laser Phys.

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Utilizing the l 1 norm as the quantum state distance metric, we consider the Pauli distance of arbitrary target quantum states, that is, the optimal convex approximation of any qubit mixed states relative to the available state of pairs of eigenstates in three Pauli matrices. We get the complete analytical expressions for B 1 -distance, B 2 -distance and B 3 -distance. We determine the parameter range for the optimal approximation of each B 2 -distance in eight distinct scenarios. Furthermore, some trade-off relations about B 2 -distances are also studied.

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