Positive operator valued measures and the quantum Monty Hall problem.
نویسندگان
چکیده
A quantum version of the Monty Hall problem, based upon the Positive Operator Valued Measures (POVM) formalism, is proposed. It is shown that basic normalization and symmetry arguments lead univocally to the associated POVM elements, and that the classical probabilities associated with the Monty Hall scenario are recovered for a natural choice of the measurement operators.
منابع مشابه
Positive - Operator - Valued Time Observable in Quantum Mechanics
We examine the longstanding problem of introducing a time observable in Quantum Mechanics; using the formalism of positive-operator-valued measures we show how to define such an observable in a natural way and we discuss some consequences.
متن کاملMaximum Entropy and Bayesian Inference for the Monty Hall Problem
We devise an approach to Bayesian statistics and their applications in the analysis of the Monty Hall problem. We combine knowledge gained through applications of the Maximum Entropy Principle and Nash equilibrium strategies to provide results concerning the use of Bayesian approaches unique to the Monty Hall problem. We use a model to describe Monty’s decision process and clarify that Bayesian...
متن کاملEgoroff Theorem for Operator-Valued Measures in Locally Convex Cones
In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...
متن کاملThe quantum monty hall problem
The well-known classical Monty Hall problem, also known under various other names [1], is set in the context of a television game show. It can be seen as a two person game, in which a player P tries to win a prize, but a show master (or Quiz master) Q tries to make it difficult for her [2]. Like other games of this sort [3, 4] it can be “quantized”, i.e., its key elements can be formulated in a...
متن کاملTight informationally complete quantum measurements
We introduce a class of informationally complete positive-operator-valued measures which are, in analogy with a tight frame, “as close as possible” to orthonormal bases for the space of quantum states. These measures are distinguished by an exceptionally simple state-reconstruction formula which allows “painless” quantum state tomography. Complete sets of mutually unbiased bases and symmetric i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Anais da Academia Brasileira de Ciencias
دوره 78 3 شماره
صفحات -
تاریخ انتشار 2006