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Entanglement of Pseudo-Hermitian Random States
By using an abstract model of pseudo-Hermitian random matrices and Dyson’s scheme to deal with density matrix of non-Hermitian matrix, the...
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Quantum Superposition and Entanglement
Two properties of Hilbert space that are pivotal in making quantum algorithms faster than classical algorithms are superposition and entanglement,...
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Entanglement
This chapter is entirely dedicated to the phenomenon of entanglement and its role in the quantum information theory. It begins by discussing how Bell...
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Extremal Geometric Measure of Entanglement and Riemannian Optimization Methods
In this paper, we study the extremal geometric measure of quantum entanglement of superposition states of several symmetric pure states with...
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Entanglement Breaking Rank Via Complementary Channels and Multiplicative Domains
Quantum entanglement can be studied through the theory of completely positive maps in a number of ways, including by making use of the...
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Map** cone of k-entanglement breaking maps
In Christandl et al. (Ann Henri Poincaré 20(7):2295–2322, 2019), the authors introduced k -entanglement breaking linear maps to understand the...
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A Practical Approach to SOS Relaxations for Detecting Quantum Entanglement
This article introduces PnCP, a MATLAB toolbox for constructing positive maps which are not completely positive. We survey optimization and sum of...
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Entanglement concentration of multi-qubit entangled states: an IBM quantum experience
In this work, we have applied the entanglement concentration protocols to partially entangled subsets of classes of highly entangled multi-qubit...
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Steane enlargement of entanglement-assisted quantum error-correcting codes
We introduce a Steane-like enlargement procedure for entanglement-assisted quantum error-correcting codes (EAQECCs) obtained by considering Euclidean...
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Z-Eigenvalue Localization Sets for Tensors and the Applications in Rank-One Approximation and Quantum Entanglement
In this paper, we propose two Z-eigenvalue inclusive sets of tensors, and prove that our new inclusion sets are more precise than some existing...
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Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed–Solomon codes
We study the subfield subcodes of projective Reed–Solomon codes and their duals: we provide bases for these codes and estimate their parameters. With...
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Entanglement of Mixed States in Kähler Quantization
Let M is a product of two integral compact Kähler manifolds. Fix a sufficiently large positive integer N. With a submanifold...
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FROM DYSON–SCHWINGER EQUATIONS TO QUANTUM ENTANGLEMENT
We apply combinatorial Dyson–Schwinger equations and their Feynman graphon representations to study quantum entanglement in a gauge field theory
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Extended quasi-cyclic constructions of quantum codes and entanglement-assisted quantum codes
Constructions of quantum codes and entanglement-assisted quantum codes with good parameters via classical codes is an important task for quantum...
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Trace Decreasing Quantum Dynamical Maps: Divisibility and Entanglement Dynamics
Trace decreasing quantum operations naturally emerge in experiments involving postselection. However, the experiments usuallyFilippov, S.N. focus on...
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Probability Entanglement and Destructive Interference in Biased Coin Tossing
Some uncertainty about flip** a biased coin can be resolved from a sequence of the coin sides already shown. The side repeating probabilities...
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The Hilbert–Schmidt norm as a measure of entanglement in spin-1/2 Heisenberg chain: generalized Bell inequality and distance between states
Entanglement calculations have received renewed interest with the advances observed in the field of quantum computing. Alternative methods to...
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Entanglement
There exist multiple qubit states that cannot be expressed as a product of individual qubit states. These states are called entangled states, which...
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Binary optimal linear codes with various hull dimensions and entanglement-assisted QECCs
The hull of a linear code C is the intersection of C with its dual. To the best of our knowledge, there are very few constructions of binary linear...
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“All-versus-nothing” proof of genuine tripartite steering and entanglement certification in the two-sided device-independent scenario
We consider the task of certification of genuine entanglement of tripartite states. For this purpose, we first present an “all-versus-nothing” proof...