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We propose a quantum device that can approximate any projective measurement on a qubit. The desired measurement basis is selected by the quantum state of a "program register". The device is optimized with respect to maximal average fidelity…

Quantum Physics · Physics 2009-11-07 Jaromir Fiurasek , Miloslav Dusek , Radim Filip

Reasoning about uncertainty is vital in many real-life autonomous systems. However, current state-of-the-art planning algorithms cannot either reason about uncertainty explicitly, or do so with a high computational burden. Here, we focus on…

Artificial Intelligence · Computer Science 2022-01-31 Moran Barenboim , Vadim Indelman

When prior information is lacking, the go-to strategy for probabilistic inference is to combine a "default prior" and the likelihood via Bayes's theorem. Objective Bayes, (generalized) fiducial inference, etc. fall under this umbrella. This…

Methodology · Statistics 2026-01-05 Ryan Martin

Assuming that data are collected sequentially from independent streams, we consider the simultaneous testing of multiple binary hypotheses under two general setups; when the number of signals (correct alternatives) is known in advance, and…

Statistics Theory · Mathematics 2017-02-14 Yanglei Song , Georgios Fellouris

We study the set of possible joint posterior belief distributions of a group of agents who share a common prior regarding a binary state, and who observe some information structure. For two agents we introduce a quantitative version of…

Theoretical Economics · Economics 2020-12-24 Itai Arieli , Yakov Babichenko , Fedor Sandomirskiy , Omer Tamuz

In a prequential approach to algorithmic randomness, probabilities for the next outcome can be forecast `on the fly' without the need for fully specifying a probability measure on all possible sequences of outcomes, as is the case in the…

Probability · Mathematics 2023-04-26 Floris Persiau , Gert de Cooman

We present a new scheme for teleporting multiqubit quantum information from a sender to a distant receiver via the control of many agents in a network. We show that the receiver can successfully restore the original state of each qubit as…

Quantum Physics · Physics 2009-11-11 Chui-Ping Yang , Siyuan Han

Binary decisions are the simplest form of decisions that are made in our daily lives. Examples include choosing a two-way path in a maze, accepting or declining an offer, etc. These decisions are also made by computers, machines and various…

Quantum Physics · Physics 2019-10-08 Sujan Vijayaraj , S. Nandakumar

A necessary and sufficient condition is given for general exact remote state preparation (RSP) protocols to be oblivious, that is, no information about the target state can be retrieved from the classical message. A novel criterion in terms…

Quantum Physics · Physics 2007-05-23 Z. Kurucz , P. Adam , J. Janszky

We explicitly calculate information, fidelity, and reversibility of an arbitrary single-qubit measurement on a completely unknown state. These quantities are expressed as functions of a single parameter, which is the ratio of the two…

Quantum Physics · Physics 2011-03-21 Hiroaki Terashima

We introduce the quantum indirect estimation theory, which provides a general framework to address the problem of which ensemble averages can be estimated by means of an available set of measuring apparatuses, e. g. estimate the ensemble…

Quantum Physics · Physics 2008-06-17 Giacomo Mauro D'Ariano , Paolo Perinotti , Massimiliano Federico Sacchi

We suggest a method to prepare any chosen superposition a0 |0> + a1 |1> of the vacuum and one-photon states. The method is based on a conditional double-interferometer fed by an one-photon state and a coherent state. The scheme involves…

Quantum Physics · Physics 2009-10-31 Matteo G A Paris

We propose here a two-round relativistic bit commitment scheme where committer commits in the first round and then confirms his/her commitment in the second round. The scheme offers indefinite commitment time where both committer and…

Quantum Physics · Physics 2015-04-15 Muhammad Nadeem

Quantum state preparation is an important class of quantum algorithms that is employed as a black-box subroutine in many algorithms, or used by itself to generate arbitrary probability distributions. We present a novel state preparation…

Quantum Physics · Physics 2020-06-02 Yutaro Iiyama

We consider the problem of certification of arbitrary ensembles of pure states and projective measurements solely from the experimental statistics in the prepare-and-measure scenario assuming the upper bound on the dimension of the Hilbert…

Quantum Physics · Physics 2021-04-07 Nikolai Miklin , Michał Oszmaniec

Unsharp measurements are increasingly important for foundational insights in quantum theory and quantum information applications. Here, we report an experimental implementation of unsharp qubit measurements in a sequential communication…

The problem of detecting anomalies in multiple processes is considered. We consider a composite hypothesis case, in which the measurements drawn when observing a process follow a common distribution with an unknown parameter (vector), whose…

Information Theory · Computer Science 2020-04-22 Bar Hemo , Tomer Gafni , Kobi Cohen , Qing Zhao

We present a new robust decoupling scheme suitable for levels with either half integer or integer angular momentum states. Through continuous dynamical decoupling techniques, we create a protected qubit subspace, utilizing a multi-state…

Quantum Physics · Physics 2014-04-29 N. Aharon , M. Drewsen , A. Retzker

The notion of quantum information related to the two different perspectives of the global and local states is examined. There is circularity in the definition of quantum information because we can speak only of the information of systems…

Quantum Physics · Physics 2007-05-23 Subhash Kak

It is shown that an equiprobability hypothesis leads to a scenario in which it is possible to predict the outcome of a single toss of a fair coin with a success probability greater than 50%. We discuss whether this hypothesis might be…

Other Statistics · Statistics 2017-10-04 James Stein , Leonard M. Wapner