Multiple-shot and unambiguous discrimination of von Neumann measurements
نویسندگان
چکیده
We present an in-depth study of the problem multiple-shot discrimination von Neumann measurements in finite-dimensional Hilbert spaces. Specifically, we consider two scenarios: minimum error and unambiguous discrimination. In case discrimination, focus on with assistance entanglement. provide alternative proof fact that all pairs distinct can be distinguished perfectly (i.e. unit success probability) using only a finite number queries. Moreover, analytically find minimal queries needed for perfect also show this scenario querying in parallel gives optimal strategy, hence any possible adaptive methods do not offer advantage over parallel scheme. scenario, give general expressions probabilities without Finally, typical Haar-random
منابع مشابه
Functional Emergence with Multiple von Neumann Computers
For the spontaneous emergence of the function in the multiagent system through evolution, a designer (man) must refrain from designing agents to excess and make agents behave as freely as possible based upon the rules within themselves. All the designer can do is to implement the system architecture and to specify the environments. The von Neumann machine, which is logically equivalent to the u...
متن کاملImpulsive quantum measurements: restricted path integral versus von Neumann collapse
The relation between the restricted path integral approach to quantum measurement theory and the commonly accepted von Neumann wavefunction collapse postulate is presented. It is argued that in the limit of impulsive measurements the two approaches lead to the same predictions. The example of repeated impulsive quantum measurements of position performed on a harmonic oscillator is discussed in ...
متن کاملWeak values are universal in von Neumann measurements.
We refute the widely held belief that the quantum weak value necessarily pertains to weak measurements. To accomplish this, we use the transverse position of a beam as the detector for the conditioned von Neumann measurement of a system observable. For any coupling strength, any initial states, and any choice of conditioning, the averages of the detector position and momentum are completely des...
متن کاملVarious topological forms of Von Neumann regularity in Banach algebras
We study topological von Neumann regularity and principal von Neumann regularity of Banach algebras. Our main objective is comparing these two types of Banach algebras and some other known Banach algebras with one another. In particular, we show that the class of topologically von Neumann regular Banach algebras contains all $C^*$-algebras, group algebras of compact abelian groups and ...
متن کاملEnvironment-induced dephasing versus von Neumann measurements in proton tunneling
In this work we compare two theoretical approaches to modeling the action of the environment on an open quantum system. It is often assumed that as the temperature of the environment surrounding a quantum system increases, so does the speed of environment-induced dephasing, or decoherence (dynamical noise), and so the efficacy of processes such as quantum tunneling drops. An alternative way of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quantum
سال: 2021
ISSN: ['2521-327X']
DOI: https://doi.org/10.22331/q-2021-04-06-425