Experimentally bounding deviations from quantum theory for a photonic three-level system using theory-agnostic tomography

Grabowecky, Michael; Pollack, Christopher; Cameron, Andrew; Spekkens, Robert W.; Resch, Katharina

doi:10.1103/physreva.105.032204

Cited by 11 publications

(5 citation statements)

References 33 publications

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“…On the theoretical side, it would be useful to know which states are optimal in terms of the Fisher information for estimating the probabilities of interest. Experimentally, there are several possible extensions to the work described here, including using squeezed light [51], performing these tests in alternative reference frames [8,9], and performing alternative tests of quantum mechanics [55,56].…”

Section: Discussionmentioning

confidence: 99%

Testing the postulates of quantum mechanics with coherent states of light and homodyne detection

Conlon,

Walsh,

Hua

et al. 2024

New J. Phys.

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Quantum mechanics has withstood every experimental test thus far. However, it relies on ad-hoc postulates which require experimental verification. Over the past decade there has been a great deal of research testing these postulates, with numerous tests of Born’s rule for determining probabilities and the complex nature of the Hilbert space being carried out. Although these tests are yet to reveal any significant deviation from textbook quantum theory, it remains important to conduct such tests in different configurations and using different quantum states. Here we perform the first such test using coherent states of light in a three-arm interferometer combined with homodyne detection. Our proposed configuration requires additional assumptions, but importantly allows us to use quantum states which exist in a larger Hilbert space compared to previous tests. For testing Born’s rule, we find that the third order interference is bounded to be κ = 0.002 ± 0.004 and for testing whether quantum mechanics is complex or not we find a Peres parameter of F = 1.0000 ± 0.0003 (F = 1 corresponds to the expected complex quantum mechanics). We also design and implement a test of Glauber’s theory of optical coherence.

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Section: Discussionmentioning

confidence: 99%

Testing the postulates of quantum mechanics with coherent states of light and homodyne detection

Conlon,

Walsh,

Hua

et al. 2024

New J. Phys.

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show abstract

“…Insofar as accessible GPT fragments allow for the possibility of modeling probabilistic sources, they supplement the techniques described in Refs. [69,70,71]. Indeed, only if one allows the sort of state space depicted in Fig.…”

Section: Theory-agnostic Tomography Using Accessible Gpt Fragmentsmentioning

confidence: 99%

“…Moreover, as discussed in detail in Sec. VI, we expect accessible GPT fragments to be a valuable tool for theory-agnostic tomography [69][70][71]. We also expect accessible GPT fragments to be critical for the development of a resource theory of generalized contextuality.…”

Section: Introductionmentioning

confidence: 97%

Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality

et al. 2023

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“…Finally, we note that our linear program is ideally suited for proving nonclassicality in real experiments [40], especially when coupled with theory-agnostic tomography techniques [41,42]. In the main text, we presented our results using the formalism of quantum theory.…”

Section: Closing Remarksmentioning

confidence: 99%

“…[3,53], and see also Refs. [41,42] for methods for obtaining evidence that one truly has tomographically complete ways of probing a given system.…”

Section: Gitton-woods's Purported Notion Of Classicalitymentioning

confidence: 99%

An open-source linear program for testing nonclassicality

Selby¹,

Wolfe²,

Schmid³

et al. 2022

Preprint

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Experimentally bounding deviations from quantum theory for a photonic three-level system using theory-agnostic tomography

Cited by 11 publications

References 33 publications

Testing the postulates of quantum mechanics with coherent states of light and homodyne detection

Testing the postulates of quantum mechanics with coherent states of light and homodyne detection

Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality

An open-source linear program for testing nonclassicality

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