Vzročna struktura ob prisotnosti sektorskih omejitev z uporabo na kvantnem stikalu

Vzročna struktura ob prisotnosti sektorskih omejitev z uporabo na kvantnem stikalu

Časovni žig: 1. junij 2023 8:48
Izvorno vozlišče: 2697095

Nick Ormrod1, Augustin Vanrietvelde1,2,3in Jonathan Barrett1

1Quantum Group, Oddelek za računalništvo, Univerza v Oxfordu
2Oddelek za fiziko, Imperial College London
3HKU-Oxford Skupni laboratorij za kvantne informacije in računalništvo

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Minimalizem

Obstoječe delo o kvantni vzročni strukturi predpostavlja, da je mogoče izvajati poljubne operacije na sistemih, ki nas zanimajo. Toda ta pogoj pogosto ni izpolnjen. Tukaj razširimo okvir za kvantno vzročno modeliranje na situacije, kjer lahko sistem trpi zaradi $textit{sektorskih omejitev}$, to je omejitev na ortogonalnih podprostorih njegovega Hilbertovega prostora, ki se lahko preslikajo drug v drugega. Naš okvir (a) dokazuje, da se številne različne intuicije o vzročnih odnosih izkažejo za enakovredne; (b) kaže, da je mogoče kvantne vzročne strukture v prisotnosti sektorskih omejitev predstaviti z usmerjenim grafom; in (c) opredeljuje natančnost vzročne strukture, v kateri so posamezni sektorji sistema v vzročni zvezi. Kot primer uporabimo naš okvir za domnevne fotonske izvedbe kvantnega stikala, da pokažemo, da medtem ko je njihova grobozrnata vzročna struktura ciklična, je njihova drobnozrnata vzročna struktura aciklična. Zato sklepamo, da ti poskusi uresničujejo nedoločen vzročni red le v šibkem smislu. Predvsem je to prvi argument v ta namen, ki ne temelji na predpostavki, da mora biti vzročni odnos lokaliziran v prostor-času.

Priljubljen povzetek

V znanosti in vsakdanjem življenju stvari zelo pogosto razlagamo s pojmoma vzroka in posledice. Ko vidimo veliko luž na ulici, domnevamo, da so vse posledica istega vzroka - dežja. Ko spodbujamo ljudi, naj opustijo kajenje, je to zato, ker verjamemo, da povzroča raka.

And yet our most successful scientific theory — quantum theory — suggests our most basic ideas about causation and causal reasoning are somehow mistaken. The famous nonlocal correlations that violate Bell's inequalities resist causal explanation as traditionally understood, and the possibility of putting objects into superpositions seems to allow for situations in which there is no definite fact about the direction of causal influence.

As a result, there has been much effort in recent years to modify our causal notions for a quantum setting. Our paper extends the study of intrinsically quantum causal structures to a new range of scenarios. One of the consequences is that recent experiments that aim to create an indefinite direction of causal influence can be understood as "weakly" indefinite — even more strongly indefinite directions of influence are conceivable.

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► Reference

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Navedel

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[2] Julian Wechs, Cyril Branciard, and Ognyan Oreshkov, "Existence of processes violating causal inequalities on time-delocalised subsystems", Nature Communications 14, 1471 (2023).

[3] Huan Cao, Jessica Bavaresco, Ning-Ning Wang, Lee A. Rozema, Chao Zhang, Yun-Feng Huang, Bi-Heng Liu, Chuan-Feng Li, Guang-Can Guo, and Philip Walther, "Semi-device-independent certification of indefinite causal order in a photonic quantum switch", Optika 10 5, 561 (2023).

[4] Augustin Vanrietvelde, Nick Ormrod, Hlér Kristjánsson, and Jonathan Barrett, "Consistent circuits for indefinite causal order", arXiv: 2206.10042, (2022).

[5] Pedro R. Dieguez, Vinicius F. Lisboa, and Roberto M. Serra, "Thermal devices powered by generalized measurements with indefinite causal order", Fizični pregled A 107 1, 012423 (2023).

[6] Matt Wilson, Giulio Chiribella, and Aleks Kissinger, "Quantum Supermaps are Characterized by Locality", arXiv: 2205.09844, (2022).

[7] Marco Fellous-Asiani, Raphaël Mothe, Léa Bresque, Hippolyte Dourdent, Patrice A. Camati, Alastair A. Abbott, Alexia Auffèves, and Cyril Branciard, "Comparing the quantum switch and its simulations with energetically constrained operations", Fizični pregled raziskav 5 2, 023111 (2023).

[8] Nick Ormrod, V. Vilasini, and Jonathan Barrett, "Which theories have a measurement problem?", arXiv: 2303.03353, (2023).

[9] Tein van der Lugt, Jonathan Barrett, and Giulio Chiribella, "Device-independent certification of indefinite causal order in the quantum switch", arXiv: 2208.00719, (2022).

[10] Robin Lorenz in Sean Tull, "Vzročni modeli v nizovnih diagramih", arXiv: 2304.07638, (2023).

[11] Michael Antesberger, Marco Túlio Quintino, Philip Walther in Lee A. Rozema, "Higher-order Process Matrix Tomography of a passively-stable Quantum SWITCH", arXiv: 2305.19386, (2023).

[12] Martin Sandfuchs, Marcus Haberland, V. Vilasini, and Ramona Wolf, "Security of differential phase shift QKD from relativistic principles", arXiv: 2301.11340, (2023).

[13] Ricardo Faleiro, Nikola Paunkovic, and Marko Vojinovic, "Operational interpretation of the vacuum and process matrices for identical particles", arXiv: 2010.16042, (2020).

[14] Eleftherios-Ermis Tselentis and Ämin Baumeler, "Admissible Causal Structures and Correlations", arXiv: 2210.12796, (2022).

[15] Ricardo Faleiro, Nikola Paunkovic, and Marko Vojinovic, "Operational interpretation of the vacuum and process matrices for identical particles", Kvant 7, 986 (2023).

Zgornji citati so iz SAO / NASA ADS (zadnjič posodobljeno 2023-06-03 12:58:29). Seznam je morda nepopoln, saj vsi založniki ne dajejo ustreznih in popolnih podatkov o citiranju.

On Storitev, ki jo citira Crossref ni bilo najdenih podatkov o navajanju del (zadnji poskus 2023-06-03 12:58:28).

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