Witnessing nonseparability of bipartite quantum operations

Sohail,; Sen, Ujjwal

doi:10.1016/j.physleta.2021.127411

Cited by 3 publications

(2 citation statements)

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“…In the case of constructing a witness for an entangled state, we use the fact that the set of separable states is convex and closed. It can easily be shown that the set of separable operators is closed and convex [20]. So in a similar way, nonseparability of bipartite quantum operations can be studied and witnesses for them can be constructed.…”

Section: Nonseparability Of Bipartite Quantum Operationsmentioning

confidence: 99%

“…This fact and the channel-state duality can be used to study the problem of nonseparability witnesses for a bipartite quantum operation [20]. Nonseparability of quantum operation or 'entanglement' of quantum operation was studied in a recent work [21] using the nonseparability of the corresponding CJKS state.…”

Section: Nonseparability Of Bipartite Quantum Operationsmentioning

confidence: 99%

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Convolution algebra of superoperators and nonseparability witnesses for quantum operations

Sohail¹,

Sen²

2022

J. Phys. A: Math. Theor.

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We deﬁne a product between quantum superoperators which is preserved under the Choi-Jamiołkowski-Kraus-Sudarshan channel-state isomorphism. We then identify the product as the convolution on the space of superoperators, with respect to which the channel-state duality is also an algebra isomorphism. We ﬁnd that any witness operator for detecting nonseparability of quantum operations on separated parties can be written entirely within the space of superoperators with the help of the convolution product.

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Section: Nonseparability Of Bipartite Quantum Operationsmentioning

confidence: 99%

Section: Nonseparability Of Bipartite Quantum Operationsmentioning

confidence: 99%