Kuantum anahtarına uygulama ile sektörel kısıtlamaların varlığında nedensel yapı

Kuantum anahtarına uygulama ile sektörel kısıtlamaların varlığında nedensel yapı

Zaman Damgası: 1 Haziran 2023 8:48 AM
Kaynak Düğüm: 2697095

Nick Ormrod1Augustin Vanrietvelde1,2,3ve Jonathan Barrett1

1Kuantum Grubu, Bilgisayar Bilimleri Bölümü, Oxford Üniversitesi
2Fizik Bölümü, Imperial College London
3Kuantum Bilgisi ve Hesaplama için HKU-Oxford Ortak Laboratuvarı

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Özet

Kuantum nedensel yapısı üzerine mevcut çalışma, kişinin ilgilenilen sistemler üzerinde keyfi işlemler gerçekleştirebileceğini varsaymaktadır. Ancak bu koşul çoğu zaman karşılanmamaktadır. Burada, kuantum nedensel modellemenin çerçevesini, bir sistemin $textit{sektörel kısıtlamalara}$, yani Hilbert uzayının birbirine eşlenebilecek dik altuzaylarındaki kısıtlamalara maruz kalabileceği durumlara kadar genişletiyoruz. Çerçevemiz (a), nedensel ilişkilerle ilgili bir takım farklı sezgilerin eşdeğer olduğunu kanıtlıyor; (b) sektörel kısıtlamaların varlığında kuantum nedensel yapıların yönlendirilmiş bir grafikle temsil edilebileceğini gösterir; ve (c) bir sistemin bireysel sektörlerinin nedensel ilişkiler taşıdığı nedensel yapının ince taneli halini tanımlar. Örnek olarak, kaba taneli nedensel yapılarının döngüsel olmasına rağmen ince taneli nedensel yapılarının döngüsel olmadığını göstermek için çerçevemizi kuantum anahtarının sözde fotonik uygulamalarına uyguluyoruz. Bu nedenle, bu deneylerin belirsiz nedensel düzeni yalnızca zayıf anlamda gerçekleştirdiği sonucuna varıyoruz. Dikkat çekici bir şekilde, bu, nedensel ilişkinin uzay-zamanda yerelleştirilmesi gerektiği varsayımına dayanmayan, bu etkiyi ortaya koyan ilk argümandır.

Popüler özet

Bilimde ve günlük yaşamda olayları genellikle neden-sonuç kavramlarını kullanarak açıklarız. Sokakta çok sayıda su birikintisi gördüğümüzde, bunların hepsinin aynı nedenin, yani yağmurun sonuçları olduğunu varsayarız. İnsanları sigarayı bırakmaya teşvik ettiğimizde bunun kansere neden olduğuna inandığımızdandır.

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.

► BibTeX verileri

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Alıntılama

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[2] Julian Wechs, Cyril Branciard, and Ognyan Oreshkov, "Existence of processes violating causal inequalities on time-delocalised subsystems", Doğa İletişimi 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", Optik 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", Fiziksel İnceleme 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", Fiziksel İnceleme Araştırması 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 ve Sean Tull, "Sicim diyagramlarında nedensel modeller", arXiv: 2304.07638, (2023).

[11] Michael Antesberger, Marco Túlio Quintino, Philip Walther, and 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", Kuantum 7, 986 (2023).

Yukarıdaki alıntılar SAO / NASA REKLAMLARI (son başarıyla 2023-06-03 12:58:29) güncellendi. Tüm yayıncılar uygun ve eksiksiz alıntı verisi sağlamadığından liste eksik olabilir.

On Crossref'in alıntı hizmeti alıntı yapma çalışmaları ile ilgili veri bulunamadı (son deneme 2023-06-03 12:58:28).

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