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Holevo bound

Nettet23. jan. 2001 · If the encoded parts are transmitted over a noiseless channel and the Holevo bound [28,29] is used during the decoding of the information, the compact version of DCC can be determined analytically ... Nettet15. apr. 2016 · @article{osti_22597055, title = {Explicit formula for the Holevo bound for two-parameter qubit-state estimation problem}, author = {Suzuki, Jun}, abstractNote = {The main contribution of this paper is to derive an explicit expression for the fundamental precision bound, the Holevo bound, for estimating any two-parameter family of qubit …

[quant-ph/0412006] A bound on the mutual information, and …

Nettet23. feb. 2024 · The Holevo CR bound is another wide studied lower bound of estimating variances on multiparameter quantum estimation, which reveals the quantum limits on weighted mean errors and is proven ... Nettet19. jul. 2024 · The idea behind the derivation of the Holevo bound from Landauer’s principle is to determine an upper bound on the entropy that is generated when Bob erases the information that the message system carries in its state ρ i. In this way we directly obtain an upper bound on the information received by Bob. empty authorization header https://boissonsdesiles.com

[2111.05355] Holevo Information and Ensemble Theory of Gravity

Nettet3. jan. 2001 · Holevo, “ Information theoretical aspects of quantum measurement ,” Probl. Inf. Transm. 9, 31– 42 (1973). Google Scholar 10. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000). Google Scholar 11. B. Nettet3. jul. 2024 · Holevo quantity is used to connect mutual information and an upper bound for vacuum-subtracted entropy of signal ensemble. In Ref. [ 29 ], authors adopt Holevo … Nettet1. aug. 2024 · To make the final result transparent, it is instructive to ask what kind of states will saturate this upper bound on the mutual information (and in turn the … draw so cute mom and daughter

Maximum logarithmic derivative bound on quantum state …

Category:Evaluating the Holevo Cram\\

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Holevo bound

Efficient computation of the Nagaoka–Hayashi bound for ... - Nature

NettetQuantum information theory 59:: Quantum instrument (proof of Holevo bound 1) - YouTube In this video I continue discussion on Holevo bound and discuss what the … NettetIn this video I complete the proof of holevo bound using the quantum instrument operation that I discussed earlier and then discuss a small example. The vide...

Holevo bound

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Nettet24. mai 2015 · The main contribution of this paper is to derive an explicit expression for the fundamental precision bound, the Holevo bound, for estimating any two-parameter … NettetLecture 12: Holevo’s theorem and Nayak’s bound In this lecture we will prove Holevo’s theorem. This is a famous theorem in quantum information theory, which is often informally summarized by a statement along the lines of this: It is not possible to communicate more than n classical bits of information by the transmission of n qubits alone.

Nettet9. jan. 2024 · The Holevo Cramér-Rao bound is a lower bound on the sum of the mean-square error of estimates for parameters of a state. We provide a method for …

NettetHolevo’s theorem, we will discuss an interesting application of this theorem to the notion of a quantum random access code. In particular, we will prove Nayak’s bound, which … Nettet9. nov. 2024 · Holevo Information and Ensemble Theory of Gravity. Holevo information is an upper bound for the accessible classical information of an ensemble of quantum …

NettetIn this lecture, we will motivate and formally state Holevo’s Theorem [Hol73], which does a good job of answering our question. We begin by considering the following scenario. We have two parties Alice and Bob, and Alice has a string x 2{0,1}n that she would like to transmit to Bob. Classically, we would

Nettet2. des. 2010 · Abstract and Figures We present a new decoding procedure to transmit classical information in a quantum channel which, saturating asymptotically the Holevo … emptyauthNettet11. jun. 2024 · In quantum estimation theory, the Holevo bound is known as a lower bound of weighed traces of covariances of unbiased estimators. The Holevo bound is defined by a solution of a minimization problem, and in general, explicit solution is not known. When the dimension of Hilbert space is two and the number of parameters is … empty a toner cartridge into another oneNettet17. jan. 2024 · In general, the Holevo bound cannot be expressed as a simple closed formula. In Refs. [32, 33], we gave several equivalent characterization for quantum parametric models so that the Holevo bound coincides with the following special bounds explained in the next subsection. empty auto complete list outlook gpoNettet19. nov. 2024 · The Holevo Cramér-Rao bound is at most thrice the Helstrom version. In quantum metrology, the Holevo Cramér-Rao bound has attracted renewed interest in … draw so cute happy birthdayNettet18. aug. 2024 · In this video I continue discussion on Holevo bound and discuss what the bound is about and then proceed to develop a particular quantum channel which can be... draw so cute ocean animalsNettet15. nov. 2024 · The fundamental bound for multiparameter quantum estimation is the Holevo Cram\'er-Rao bound (HCRB) whose evaluation has so far remained elusive. … draw so cute octopus coloring pageNettet6. aug. 2024 · The Holevo bound is an asymptotically achievable bound when one allows for any measurement strategy, including collective measurements on many copies of the probe. In this work we introduce a tighter bound for estimating multiple parameters simultaneously when performing separable measurements on finite copies of the probe. draw so cute new year