Fisher Information Universally Identifies Quantum Resources

Tan, Kok Chuan; Narasimhachar, Varun; Regula, Bartosz

doi:10.1103/physrevlett.127.200402

Cited by 23 publications

(8 citation statements)

References 68 publications

(79 reference statements)

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“…In the general context of resource theories, our work contribution is twofold. First, it demonstrates the applicability of powerful general results in a concrete setting [5,11] and compels the community to apply other critical general results [49][50][51][52]. Secondly, it develops new methods to quantify and analyse multi-object resources.…”

Section: Discussionmentioning

confidence: 99%

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Resource theory of Absolute Negativity

Salazar¹,

Czartowski²,

Junior³

2022

Preprint

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A crucial goal of quantum information is to find new ways to exploit the properties of quantum devices as resources. One of the prominent properties of quantum devices of particular interest is their negativity in quasi-probability representations, intensively studied in foundational and practical investigations. In this article, we introduce the concept of Absolute Negativity to characterise the negativity of sets of quantum devices in a basisindependent way. Moreover, we provide a resource theory for our relational notion of Absolute Negativity, which applies to sets of quantum state-measurement pairs. Additionally, we determine a computationally efficient and complete hierarchy of upper bounds for resource measures, which allows for estimating the resources of a set of devices. We demonstrate operational interpretations of our resource theory for communication and output-estimation advantages over statemeasurement pairs with a classical probability representation. Furthermore, we illustrate the newly introduced concepts with an exhaustive analysis of a simple case of four qubit state-measurement pairs. Finally, we outline possible generalisations, applications and open questions.

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Section: Discussionmentioning

confidence: 99%

“…and a convex QRT of measurements with F (e) = W (e) 1 [U ] closed under CPP. As a consequence, for every pair (ρ j , M j ) in the multi-object ( ρ, M) we can apply (51):…”

Section: B Proofs Of Operational Interpretations B1 Discrimination Ga...mentioning

confidence: 99%

Resource theory of Absolute Negativity

Salazar¹,

Czartowski²,

Junior³

2022

Preprint

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“…It was shown that there exists a free parameter estimation protocol for any resource state ρ ∈ R with an effective Fisher information being nonnagative [67].…”

Section: A Resourcementioning

confidence: 99%

Universal resources for quantum computing

Wang¹

2023

Preprint

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Unravelling the source of quantum computing power has been a major goal in the field of quantum information science. In recent years, the quantum resource theory (QRT) has been established to characterize various quantum resources, yet their roles in quantum computing tasks still require investigation. The so-called universal quantum computing model (UQCM), e.g., the circuit model, has been the main framework to guide the design of quantum algorithms, creation of real quantum computers etc. In this work, we combine the study of UQCM together with QRT. We find, on one hand, using QRT can provide a resource-theoretic characterization of a UQCM, the relation among models and inspire new ones, and on the other hand, using UQCM offers a framework to apply resources, study relation among resources and classify them.We develop the theory of universal resources in the setting of UQCM, and find a rich spectrum of UQCMs and the corresponding universal resources. Depending on a hierarchical structure of resource theories, we find models can be classified into families. In this work, we study three natural families of UQCMs in details: the amplitude family, the quasi-probability family, and the Hamiltonian family. They include some well known models, like the measurement-based model and adiabatic model, and also inspire new models such as the contextual model we introduce. Each family contains at least a triplet of models, and such a succinct structure of families of UQCMs offers a unifying picture to investigate resources and design models. It also provides a rigorous framework to resolve puzzles, such as the role of entanglement vs. interference, and unravel resource-theoretic features of quantum algorithms.

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“…(4). Therefore, the QFI can be used to witness metrological useful entanglement or quantum resources [38]. This feature has been applied to analyze several experimental results, including entanglement detection [39][40][41][42][43] and quantum metrology [44][45][46].…”

Section: A Quantum Fisher Information Witnessing Metrological Useful ...mentioning

confidence: 99%

Characterizing entanglement robustness of N-qubit W superposition state against particle loss from quantum Fisher information

Ren

2023

Preprint

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We investigate the entanglement robustness of N-qubit W superposition state against particle loss with quantum Fisher information. In the noninteracting environment, the quantum Fisher information of reduced W superposition state is found same as the W superposition state when the number of qubits larger than 5, which shows very strong entanglement robustness compared to Twin-Fock state and Greenberger-Horne-Zeilinger state. Meanwhile, the effect of re-particle-loss is also studied and it presents a rapid decay of quantum Fisher information with the increase of losing qubits, indicating the weak entanglement robustness. In the interacting environment, the results show that the reduced W superposition state performs better than it in noninteracting environment. Alternatively, with the increase of qubits (N > 5) the reduced W superposition state behaves much more robust than original state. To vividly approach the real noisy environment, the effects of different decoherence channels are also considered.

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Fisher Information Universally Identifies Quantum Resources

Cited by 23 publications

References 68 publications

Resource theory of Absolute Negativity

Resource theory of Absolute Negativity

Universal resources for quantum computing

Characterizing entanglement robustness of N-qubit W superposition state against particle loss from quantum Fisher information

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