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

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Impulsive 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 کامل

Weak 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 کامل

Various 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 کامل

Environment-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 کامل

ذخیره 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