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arXiv · 1510.00939

Private Quantum Subsystems and Quasiorthogonal Operator Algebras

Jeremy Levick·Tomas Jochym-O'Connor·David Kribs·Raymond Laflamme·Rajesh Pereira
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Abstract

We generalize a recently discovered example of a private quantum subsystem to find private subsystems for Abelian subgroups of the $n$-qubit Pauli group, which exist in the absence of private subspaces. In doing so, we also connect these quantum privacy investigations with the theory of quasiorthogonal operator algebras through the use of tools from group theory and operator theory.

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Jeremy Levick, Tomas Jochym-O'Connor, David Kribs, Raymond Laflamme, Rajesh Pereira. 2015-10-04. Private Quantum Subsystems and Quasiorthogonal Operator Algebras. https://doi.org/10.1088/1751-8113%2F49%2F12%2F125302

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