Beating no-go theorems by engineering defects in quantum spin models

Abstract

There exist diverse no-go theorems, ranging from no-cloning to monogamies of quantum correlations and Bell inequality violations, which restrict the processing of information in the quantum world. In a multipartite scenario, monogamy of Bell inequality violation and exclusion principle of dense coding are such theorems, which impede the ability of the system to have quantum advantage between all its parts. In ordered spin systems, the twin restrictions of translation invariance and monogamy of quantum correlations, in general, enforce the bipartite states to be neither Bell inequality violating nor dense-codeable. We show that these quantum characteristics, viz. Bell inequality violation and dense-codeability, can be resurrected, and thereby the no-go theorems overcome, by having quenched disorder in the system parameters leading to quantum spin glass or quantum random field models. We show that the quantum characteristics are regained even though the quenched averaging keeps the disordered spin chains translationally invariant at the physically relevant level of observables. The results show that it is possible to conquer constraints imposed by quantum mechanics in ordered systems by introducing impurities.

9 pages, 6 figures, RevTeX 4.1

References in corpus (22)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• General Monogamy Inequality for Bipartite Qubit Entanglement
• No-local-broadcasting theorem for quantum correlations
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Monogamy inequality for distributed Gaussian entanglement
• Entanglement, avoided crossings and quantum chaos in an Ising model with a tilted magnetic field
• Topological protection, disorder, and interactions: Survival at the surface of 3D topological superconductors
• Entanglement Across a Transition to Quantum Chaos
• Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models
• Optimal Cloning and Singlet Monogamy
• Decoherence effects on the quantum spin channels
• Disorder-Induced Order in Two-Component Bose-Einstein Condensates
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Anti-Zeno Effect for Quantum Transport in Disordered Systems
• Observation of disorder-induced weakening of electron-phonon interaction in thin noble metal films
• Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields
• Weaker entanglement guarantees stronger entanglement
• Disorder-Induced First Order Transition and Curie Temperature Lowering in Ferromagnatic Manganites
• Classification and monogamy of three-qubit biseparable Bell correlations
• Enhancing the Detection of Natural Thermal Entanglement with Disorder
• Competing impurities and reentrant magnetism in La(2-x)Sr(x)Cu(1-z)Zn(z)O(4) revisited. The role of the Dzyaloshinskii-Moriya and XY anisotropies