Transformation properties and entanglement of relativistic qubits under space-time and gauge transformations

Calmet, Xavier and Dunningham, Jacob (2017) Transformation properties and entanglement of relativistic qubits under space-time and gauge transformations. Physical Review A, 95 (4). 042309. ISSN 1050-2947

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We revisit the properties of qubits under Lorentz transformations and, by considering Lorentz invariant quantum states in the Heisenberg formulation, clarify some misleading notation that has appeared in the literature on relativistic quantum information theory. We then use this formulation to consider the transformation properties of qubits and density matrices under space-time and gauge transformations. Finally we use our results to understand the behaviour of entanglement between different partitions of quantum systems. Our approach not only clarifies the notation, but provides a more intuitive and simple way of gaining insight into the behaviour of relativistic qubits. In particular, it allows us to greatly generalize the results in the current literature as well as substantially simplifying the calculations that are needed.

Item Type: Article
Keywords: entanglement, Lorentz transformation, gauge transformation
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Research Centres and Groups: Atomic, Molecular and Optical Physics Research Group
Mathematical Physics Group
Sussex Centre for Quantum Technologies
Theoretical Particle Physics Research Group
Subjects: Q Science > QC Physics > QC0170 Atomic physics. Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics
Depositing User: Jacob Dunningham
Date Deposited: 24 Mar 2017 10:47
Last Modified: 17 Apr 2018 09:32

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Project NameSussex Project NumberFunderFunder Ref
Theoretical Particle Physics Consortium Sussex - Royal HollowayG1449STFC-SCIENCE AND TECHNOLOGY FACILITIES COUNCILST/L000504/1