Holevo bound
Nettet17. 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. Nettet24. apr. 2024 · holevo界的证明过程中，Bob的系统假定是与Alice直积的纯态，这也符合最一般的情况，大多数时候，通信双方是没有共享纠缠资源的。 而超密编码中，Bob的系统与Alice发送系统处于纠缠态，纠缠本身就可以看作是一种资源、一种信息，并不适用于holevo界。 事实上，所谓超密编码并不密，再不共享纠缠的条件下，需要两次通 …
Holevo bound
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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 … Nettet15. jul. 2024 · The Holevo bound is an asymptotically achievable bound when one allows for any measurement strategy, including collective measurements on many copies of …
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... NettetStudy of theoretical tools for quantum multiparameterestimation including Cramer-Rao bound, Ziv-Zakai bound, Holevo bound and other novel mathematical tools in quantum multiparameter estimation; Discovery of quantum advantages, including quantum resources and quantum technologies; Design of control-enhanced schemes for …
Nettet15. nov. 2024 · The fundamental bound for multiparameter quantum estimation is the Holevo Cram\'er-Rao bound (HCRB) whose evaluation has so far remained elusive. … Nettet3. jan. 2024 · Besides, although the Holevo quantity can be achieved through measurements on a large number of copies, it is regularly not tight in the single-copy measurements case . Some authors have raised the question of whether the Holevo bound can be improved, by setting an alternative inequality with a better performance …
Nettet6. 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.
Holevo's theorem is an important limitative theorem in quantum computing, an interdisciplinary field of physics and computer science. It is sometimes called Holevo's bound, since it establishes an upper bound to the amount of information that can be known about a quantum state (accessible information). It … Se mer As for several concepts in quantum information theory, accessible information is best understood in terms of a 2-party communication. So we introduce two parties, Alice and Bob. Alice has a classical Se mer Consider the composite system that describes the entire communication process, which involves Alice's classical input $${\displaystyle X}$$, the quantum system Se mer • Superdense coding Se mer Let {ρ1, ρ2, ..., ρn} be a set of mixed states and let ρX be one of these states drawn according to the probability distribution P = {p1, p2, ..., pn}. Then, for any measurement described by POVM elements {EY} and performed on Se mer In essence, the Holevo bound proves that given n qubits, although they can "carry" a larger amount of (classical) information (thanks to quantum superposition), the amount of classical … Se mer • Holevo, Alexander S. (1973). "Bounds for the quantity of information transmitted by a quantum communication channel". Problems of Information Transmission. 9: 177–183. • Nielsen, Michael A.; Chuang, Isaac L. (2000). Quantum Computation and Quantum Information. … Se mer triad industrial supply corpNettet2 dager siden · The inequality (95) has a clear interpretation: the Holevo bound on the amount of classical information ”obtained” by the environment (or ”eavesdropper” in terms of secret communications) from an input ensemble of pure states does not decrease under concatenation. The inequality (95) implies that C¯(\Ψ Φ,ρ) ≥ C¯(Φb,ρ) (96) tennis cube battery replacementNettet24. 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 … triad industrial supplyNettet14. apr. 2024 · Applications include unified, volume-based derivations of the Holevo and Shannon bounds in quantum and classical information theory; a precise geometric interpretation of thermodynamic entropy for ... triad infosecNettetHolevo’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 … tennis crowthorneNettetBy Holevo’s bound: I(b :Y)≤S(σ)− 1 2 (S(σ0)+S(σ1)) But we know that Pr[b =Y]≥ p. This easily implies that I(b :Y)≥1−H(p). By combining the two inequalities and rearranging … tennis cufflinks silverNettet12. jan. 2024 · Averaged over the entire range of θ, the two-copy measurements show a m.s.e. 19 ± 4% below the theoretical single-copy measurement limit, which is only 6 ± 4% larger than the Holevo bound. triad industries