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Chinese Physics Letters

Quantum Locality for a Pair of Interacting Systems

M. Dugić, J. Jeknić-Dugić

Published Sep 1, 2009• 3 citations
Publisher

Abstract

We discuss the quantum locality (non-transfer of information) for a pair of mutually interacting systems, and point out the relaxed locality. The models fulfilling the relaxed locality condition can serve as a guide for quantum engineers in designing quantum-information hardware.
DOI
10.1088/0256-307x/26/9/090306

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We give an example of fulfillment of the condition of locality--no information transfer between certain subsystems--in a tripartite quantum system whose dynamics can not be decomposed (non-sequential dynamics of the system). The three subsystems (AAA, BBB and CCC) are designed such that CCC interacts simultaneously with both AAA and BBB, while there is not any interaction between AAA and BBB. On this basis, we emphasize validity of the condition of locality in a realistic physical situation.
We have already hinted at the relevance of information for measure- ment. In the last chapter we have considered the relevance of non- local correlations. It is time to deal again with measurement and non-locality from the point of view of information. Indeed, in this chapter, we shall learn how to treat quantum systems as information processors along the lines of quantum reversibility presented in Section 9.7. After providing a brief discussion on the nature of information, we introduce the concepts of information accessibility and partial information. We shall present a basic analysis of some commonly used quantum gates in quantum computation. Quantum teleportation and the quantum key distribution problem are then analyzed. Finally, the important concept of mutual information and its relation to quantum non-separability are discussed.
Since quantum feedback is based on classically accessible measurement results, it can provide fundamental insights into the dynamics of quantum systems by making available classical information on the evolution of system properties and on the conditional forces acting on the system. In this paper, the feedback-induced interaction dynamics between a pair of quantum systems is analyzed. It is pointed out that any interaction Hamiltonian can be simulated by local feedback if the levels of decoherence are sufficiently high. The boundary between genuine entanglement generating quantum interactions and non-entangling classical interactions is identified and the nature of the information exchange between two quantum systems during an interaction is discussed.
Abstract The design of quantum many body systems, which have to fulfill an extensive number of constraints, appears as a formidable challenge within the field of quantum simulation. Lattice gauge theories are a particular important class of quantum systems with an extensive number of local constraints and play a central role in high energy physics, condensed matter and quantum information. Whereas recent experimental progress points towards the feasibility of large-scale quantum simulation of abelian gauge theories, the quantum simulation of non-abelian gauge theories appears still elusive. In this paper we present minimal non-abelian lattice gauge theories, whereby we introduce the necessary formalism in well-known abelian gauge theories, such as the Jaynes–Cumming model. In particular, we show that certain minimal non-abelian lattice gauge theories can be mapped to three or four level systems, for which the design of a quantum simulator is standard with current technologies. Further we give an upper bound for the Hilbert space dimension of a one dimensional SU(2) lattice gauge theory, and argue that the implementation with current digital quantum computer appears feasible.
Many experimental results and theoretical reasonings on gedanken experiments suggest that quantum entities behave in a non-local . In order to make the discussion more precise, we propose an operational definition of non-locality . We discuss two examples of spin superposition experiments which illustrate the use of this definition. They show that quantum entities like a neutron or an atom are non-local. We make an analysis of the difficulty to imagine such non-local entities and to conciliate this non-locality with the locality of classical entities
Entanglement generation is a cornerstone of quantum information science, yet its speed in Hermitian systems is fundamentally constrained by the coupling strength, a restriction known as the quantum speed limit. Here we demonstrate that this bound can be beaten by exploiting the unique topology of non-Hermitian systems near exceptional points (EPs). Using a pair of trapped ions, we engineer a parity-time symmetric Hamiltonian where the coalescence of eigenstates near the EP distorts the Hilbert space geometry, providing a shortcut for quantum state evolution. We observe that, as the system approaches the EP, the time required to generate a maximally entangled state is markedly reduced with respect to the limits imposed by the equivalent Hermitian interaction. We further uncover a fundamental physical trade-off whereby the acceleration of entanglement is intrinsically coupled to a reduction in the success probability, revealing the information cost of non-Hermitian speedup. Our results suggest that tailored dissipation, rather than being a source of decoherence, can serve as a powerful resource for accelerating quantum dynamics, offering a new paradigm for designing high-speed quantum gates and sensors in hardware-constrained platforms.