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Connecting processes with indefinite causal order and multi-time quantum states

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Connecting processes with indefinite causal order and multi-time quantum states. / Silva, Ralph; Guryanova, Yelena; Short, Tony; Skrzypczyk, Paul; Brunner, Nicolas; Popescu, Sandu.

In: New Journal of Physics, Vol. 19, No. 10, 103022, 10.2017.

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Silva, Ralph ; Guryanova, Yelena ; Short, Tony ; Skrzypczyk, Paul ; Brunner, Nicolas ; Popescu, Sandu. / Connecting processes with indefinite causal order and multi-time quantum states. In: New Journal of Physics. 2017 ; Vol. 19, No. 10.

Bibtex

@article{6f8f1129b8a342199369c99e3abb339f,
title = "Connecting processes with indefinite causal order and multi-time quantum states",
abstract = "Recently, the possible existence of quantum processes with indefinite causal order has been extensively discussed, in particular using the formalism of process matrices. Here we give a new perspective on this question, by establishing a direct connection to the theory of multi-time quantum states. Specifically, we show that process matrices are equivalent to a particular class of pre- and post- selected quantum states. This offers a new conceptual point of view to the nature of process matrices. Our results also provide an explicit recipe to experimentally implement any process matrix in a probabilistic way, and allow us to generalize some of the previously known properties of process matrices. Furthermore we raise the issue of the difference between the notions of indefinite temporal order and indefinite causal order, and show that one can have indefinite causal order even with definite temporal order.",
author = "Ralph Silva and Yelena Guryanova and Tony Short and Paul Skrzypczyk and Nicolas Brunner and Sandu Popescu",
year = "2017",
month = "10",
doi = "10.1088/1367-2630/aa84fe",
language = "English",
volume = "19",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing",
number = "10",

}

RIS - suitable for import to EndNote

TY - JOUR

T1 - Connecting processes with indefinite causal order and multi-time quantum states

AU - Silva, Ralph

AU - Guryanova, Yelena

AU - Short, Tony

AU - Skrzypczyk, Paul

AU - Brunner, Nicolas

AU - Popescu, Sandu

PY - 2017/10

Y1 - 2017/10

N2 - Recently, the possible existence of quantum processes with indefinite causal order has been extensively discussed, in particular using the formalism of process matrices. Here we give a new perspective on this question, by establishing a direct connection to the theory of multi-time quantum states. Specifically, we show that process matrices are equivalent to a particular class of pre- and post- selected quantum states. This offers a new conceptual point of view to the nature of process matrices. Our results also provide an explicit recipe to experimentally implement any process matrix in a probabilistic way, and allow us to generalize some of the previously known properties of process matrices. Furthermore we raise the issue of the difference between the notions of indefinite temporal order and indefinite causal order, and show that one can have indefinite causal order even with definite temporal order.

AB - Recently, the possible existence of quantum processes with indefinite causal order has been extensively discussed, in particular using the formalism of process matrices. Here we give a new perspective on this question, by establishing a direct connection to the theory of multi-time quantum states. Specifically, we show that process matrices are equivalent to a particular class of pre- and post- selected quantum states. This offers a new conceptual point of view to the nature of process matrices. Our results also provide an explicit recipe to experimentally implement any process matrix in a probabilistic way, and allow us to generalize some of the previously known properties of process matrices. Furthermore we raise the issue of the difference between the notions of indefinite temporal order and indefinite causal order, and show that one can have indefinite causal order even with definite temporal order.

U2 - 10.1088/1367-2630/aa84fe

DO - 10.1088/1367-2630/aa84fe

M3 - Article

VL - 19

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

IS - 10

M1 - 103022

ER -