Monogamy relations for generalized W class states in terms of Tsallis entropy beyond qubits

Abstract

\indent In this article, we consider the monogamy relations for the generalized W class states. Here we first present an analytical formula on Tsallis-$q$ entanglement and Tsallis-$q$ entanglement of assistance of a reduced density matrix of the generalized W class states, then we present a monogamy relation in terms of the T$q$EE for the GW state, and we also present generalized monogamy relations in terms of T$q$EE for the GW states. At last, we present tighter polygamy relations in terms of T$q$EEoA when $q=2$ for the GWV states.

References in corpus (32)

• Quantum entanglement
• Entanglement of Formation of an Arbitrary State of Two Qubits
• A computable measure of entanglement
• Distributed Entanglement
• General Monogamy Inequality for Bipartite Qubit Entanglement
• "Squashed Entanglement" - An Additive Entanglement Measure
• Is Entanglement Monogamous?
• Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems
• Universally-composable privacy amplification from causality constraints
• Tsallis entropy and entanglement constraints in multi-qubit systems
• Violation of monogamy inequality for higher-dimensional objects
• A Monogamy-of-Entanglement Game With Applications to Device-Independent Quantum Cryptography
• Strong monogamy conjecture for multiqubit entanglement: The four-qubit case
• Should Entanglement Measures be Monogamous or Faithful?
• General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems
• Tighter monogamy relations in multipartite systems
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Subadditivity of q-entropies for q>1
• Negativity and strong monogamy of multi-party quantum entanglement beyond qubits
• Generalized entropic criterion for separability
• Generalized W-Class State and its Monogamy Relation
• General monogamy relation of multi-qubit systems in terms of squared Rényi-$\alpha$ entanglement
• Generalized Monogamy Relations of Concurrence for N-qubit Systems
• Generalized decoding, effective channels, and simplified security proofs in quantum key distribution
• Entanglement Polygon Inequality in Qubit Systems
• Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
• Generalized Entropy and Global Quantum Discord in Multi-party Quantum systems
• Information-theoretic Bell inequalities based on Tsallis entropy
• Strong monogamy of multi-party quantum entanglement for partially coherently superposed states
• Monogamy properties of qubit systems
• Biseparability of noisy pseudopure, W and GHZ states using conditional quantum relative Tsallis entropy
• Heralded Channel Holevo Superadditivity Bounds from Entanglement Monogamy

Cited by in corpus (10)

• Monogamy of quantum entanglement
• Monogamy relations and upper bounds for the generalized $W$-class states using Rényi-$\alpha$ entropy
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• Dressed Interference in Giant Superatoms: Entanglement Generation and Transfer
• On monogamy and polygamy relations of multipartite systems
• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
• Tighter monogamy relations of entanglement measures based on fidelity
• W-class states-identification and quantification of Bell-CHSH inequalities' violation
• Unified monogamy relations for the generalized $W$-class states beyond qubits
• Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance