Minimum error discrimination for an ensemble of linearly independent pure states
نویسندگان
چکیده
منابع مشابه
Unambiguous Discrimination Between Linearly-Independent Quantum States
The theory of generalised measurements is used to examine the problem of discriminating unambiguously between non-orthogonal pure quantum states. Measurements of this type never give erroneous results, although, in general, there will be a non-zero probability of a result being inconclusive. It is shown that only linearly-independent states can be unambiguously discriminated. In addition to exa...
متن کاملMinimum-error discrimination between mixed quantum states
We derive a general lower bound on the minimum-error probability for ambiguous discrimination between arbitrary m’s mixed quantum states with given prior probabilities. When m = 2, this bound is precisely the well-known Helstrom limit. Also, we give a general lower bound on the minimum-error probability for discriminating quantum operations. In particular, we show necessary and sufficient condi...
متن کاملMinimum-error discrimination between symmetric mixed quantum states
We provide a solution of finding optimal measurement strategy for distinguishing between symmetric mixed quantum states. It is assumed that the matrix elements of at least one of the symmetric quantum states are all real and nonnegative in the basis of the eigenstates of the symmetry operator. Typeset using REVTEX ∗[email protected] †[email protected] 1
متن کاملDistinguishing mixed quantum states: Minimum-error discrimination versus optimum unambiguous discrimination
We consider two different optimized measurement strategies for the discrimination of nonorthogonal quantum states. The first is ambiguous discrimination with a minimum probability of inferring an erroneous result, and the second is unambiguous, i.e., error-free, discrimination with a minimum probability of getting an inconclusive outcome, where the measurement fails to give a definite answer. F...
متن کاملStructure of minimum-error quantum state discrimination
Distinguishing different quantum states is a fundamental task having practical applications in information processing. Despite the effort devoted so far, however, strategies for optimal discrimination are known only for specific examples. In this paper we consider the problem of minimum-error quantum state discrimination where one attempts to minimize the average error. We show the general stru...
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: Journal of Physics A: Mathematical and Theoretical
سال: 2016
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/49/16/165304