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We investigate the problem of bounding the quantum process fidelity given bounds on the fidelities between target states and the action of a process on a set of pure input states. We formulate the problem as a semidefinite program and prove…

量子物理 · 物理学 2018-11-28 Karl Mayer , Emanuel Knill

Securing information transmission is critical today. However, with rapidly developing powerful quantum technologies, conventional cryptography techniques are becoming more prone to attacks each day. New techniques in the realm of quantum…

密码学与安全 · 计算机科学 2020-09-10 Saiful Islam Salim , Adnan Quaium , Sriram Chellappan , A. B. M. Alim Al Islam

Recently quantum tomography has been proposed as a fundamental tool for prototyping a few qubit quantum device. It allows the complete reconstruction of the state produced from a given input into the device. From this reconstructed density…

量子物理 · 物理学 2009-11-07 R. T. Thew , K. Nemoto , A. G. White , W. J. Munro

We propose a linear-optical setup for heralded qubit amplification with tunable output qubit fidelity. We study its success probability as a function of output qubit fidelity showing that at the expense of lower fidelity, the setup can…

量子物理 · 物理学 2013-12-05 Karol Bartkiewicz , Antonín Černoch , Karel Lemr

High fidelity quantum state transfer is an essential part of quantum information processing. In this regard, we address the problem of maximizing the fidelity in a quantum state transformation process satisfying the Liouville-von Neumann…

量子物理 · 物理学 2022-03-11 Nahid Binandeh Dehaghani , Fernando Lobo Pereira

To certify that an experimentally implemented quantum transformation is a certain unitary operation U on a d-dimensional Hilbert space, it suffices to determine fidelities of output states for d+1 suitably chosen pure input states [Reich et…

量子物理 · 物理学 2014-01-24 Jaromir Fiurasek , Michal Sedlak

The fidelity function of quantum states have been widely used in quantum information science and frequently arises in the quantification of optimal performances for the estimation and distinguish of quantum states. A fidelity function on…

量子物理 · 物理学 2017-03-09 Haidong Yuan , Chi-Hang Fred Fung

Uhlmann's fidelity function is one of the most widely used similarity measures in quantum theory. One definition of this function is that it is the minimum classical fidelity associated with a quantum-to-classical measurement procedure of…

量子物理 · 物理学 2021-01-19 Sam Cree , Jamie Sikora

We propose a measurement scheme that validates the preparation of an $n$-qubit stabilizer state. The scheme involves a measurement of $n$ Pauli observables, a priori determined from the stabilizer state and which can be realized using…

量子物理 · 物理学 2019-09-17 Amir Kalev , Anastasios Kyrillidis , Norbert M. Linke

We describe a technique for self consistently characterizing both the quantum state of a single qubit system, and the positive-operator-valued measure (POVM) that describes measurements on the system. The method works with only ten…

量子物理 · 物理学 2021-07-28 A. Stephens , J. M. Cutshall , T. McPhee , M. Beck

The most fundamental problem in statistics is the inference of an unknown probability distribution from a finite number of samples. For a specific observed data set, answers to the following questions would be desirable: (1) Estimation:…

统计理论 · 数学 2013-01-23 Ali Kinkhabwala

The principle of maximum likelihood reconstruction has proven to yield satisfactory results in the context of quantum state tomography for many-body systems of moderate system sizes. Until recently, however, quantum state tomography has…

量子物理 · 物理学 2014-01-29 Tillmann Baumgratz , Alexander Nüßeler , Marcus Cramer , Martin B. Plenio

Protocols for discriminating between a pair of channels or for estimating a channel parameter can often be aided by adaptivity or by entanglement between the probe states. This can make it difficult to bound the best possible performance…

量子物理 · 物理学 2021-10-07 Jason L. Pereira , Leonardo Banchi , Stefano Pirandola

We discuss a procedure of measurement followed by the reproduction of the quantum state of a three-level optical system - a frequency- and spatially degenerate two-photon field. The method of statistical estimation of the quantum state…

Quantum state tomography, the ability to deduce the density matrix of a quantum system from measured data, is of fundamental importance for the verification of present and future quantum devices. It has been realized in systems with few…

量子物理 · 物理学 2010-02-22 M. Cramer , M. B. Plenio

We demonstrate in a superconducting qubit the conditional recovery ("uncollapsing") of a quantum state after a partial-collapse measurement. A weak measurement extracts information and results in a non-unitary transformation of the qubit…

We investigate distinguishability (measured by fidelity) of the initial and the final state of a qubit, which is an object of the so-called nonideal quantum measurement of the first kind. We show that the fidelity of a nonideal measurement…

量子物理 · 物理学 2007-05-23 Miroljub Dugic , Milan M. Cirkovic

Near-term quantum computations are limited by high error rates, the scarcity of qubits and low qubit connectivity. Increasing support for mid-circuit measurements and qubit reset in near-term quantum computers enables qubit reuse that may…

量子物理 · 物理学 2023-08-02 Sebastian Brandhofer , Ilia Polian , Kevin Krsulich

Mutually unbiased bases determine an optimal set of measurements to extract complete information about the quantum state of a system. However, quite often a priori information about the state exist, making some of the measurement bases…

量子物理 · 物理学 2015-06-12 A. B. Klimov , G. Bjork , L. L. Sanchez-Soto

We study the process of quantum telecloning of $d$-dimensional pure quantum states using partially entangled pure states as quantum channel. This process efficiently mixes optimal universal symmetric cloning with quantum teleportation. It…

量子物理 · 物理学 2017-12-05 Gabriel Araneda , Nataly Cisternas , Aldo Delgado