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Functional framework for representing and transforming quantum channels

Jarosław Adam Miszczak
2013 arXiv   pre-print
We show that the introduced framework allows a seamless manipulation of quantum channels, in particular to convert between different representations of quantum channels, and thus that the use of functional  ...  We develop a framework which aims to simplify the analysis of quantum states and quantum operations by harnessing the potential of function programming paradigm.  ...  We develop a framework which aims to simplify the analysis of quantum states and quantum operations by harnessing the potential of functional programming paradigm.  ... 
arXiv:1307.4906v1 fatcat:skilb3artjanfh2px7pweir6aa

Quantum computations without definite causal structure

Giulio Chiribella, Giacomo Mauro D'Ariano, Paolo Perinotti, Benoit Valiron
2013 Physical Review A. Atomic, Molecular, and Optical Physics  
We show that quantum theory allows for transformations of black boxes that cannot be realized by inserting the input black boxes within a circuit in a pre-defined causal order.  ...  The quantum version of this transformation-the quantum switch-produces an output circuit where the order of the connections is controlled by a quantum bit, which becomes entangled with the circuit structure  ...  Selinger for stimulating criticisms and discussions, during which he independently devised the realization of the SWITCH program by a machine with movable wires.  ... 
doi:10.1103/physreva.88.022318 fatcat:bwysqiejxrd2vh2pkrvcdcozhe

A distributed simulation framework for quantum networks and channels [article]

Ben Bartlett
2018 arXiv   pre-print
It includes functionality to allow users to easily design complex multi-party quantum networks, extensible classes for modeling noisy quantum channels, and a multiprocessed NumPy backend for performant  ...  We introduce the Simulator for Quantum Networks and Channels (SQUANCH), an open-source Python library for creating parallelized simulations of distributed quantum information processing.  ...  ACKNOWLEDGEMENTS We wish to thank our colleagues at INQNET, Rishiraj Pravahan, Yewon Gim, and Maria Spiropulu for providing support and helpful feedback throughout development.  ... 
arXiv:1808.07047v1 fatcat:ek2a35a6fjfwdn73z7fzslfrwi

A quantum prediction as a collection of epistemically restricted classical predictions [article]

William F. Braasch Jr., William K. Wootters
2022 arXiv   pre-print
For each aspect of the experiment -- the preparation, the transformations, and the measurement -- the epistemic restriction limits the form of the probability distribution an imagined classical observer  ...  In this paper we show how, for a certain class of quantum systems, the quantum description of an experiment can be decomposed into classical descriptions that are epistemically restricted, though in a  ...  To summarize, for an experiment consisting of a preparation, a channel, and a measurement, a framework consists of a striation (for the preparation), a symplectic matrix (for the channel), and another  ... 
arXiv:2107.02728v5 fatcat:lutlxbyh7jabvl7ix2eau7fifm

A quantum prediction as a collection of epistemically restricted classical predictions

William F. Braasch Jr., William K. Wootters
2022 Quantum  
For each aspect of the experiment—the preparation, the transformations, and the measurement—the epistemic restriction limits the form of the probability distribution an imagined classical observer may  ...  In this paper we show how, for a certain class of quantum systems, the quantum description of an experiment can be decomposed into classical descriptions that are epistemically restricted, though in a  ...  To summarize, for an experiment consisting of a preparation, a channel, and a measurement, a framework consists of a striation (for the preparation), a symplectic matrix (for the channel), and another  ... 
doi:10.22331/q-2022-02-21-659 fatcat:fcvheuvwdbgpre4hle6srut4ny

Quantum Supermaps are Characterized by Locality [article]

Matt Wilson, Giulio Chiribella, Aleks Kissinger
2022 arXiv   pre-print
We prove that the sequential and parallel composition rules for quantum channels are all that need to be referenced to axiomatize quantum supermaps.  ...  To do so we provide a simple definition of locally-applicable transformation, which can be stated for arbitrary symmetric monoidal categories, and so for arbitrary process theories and operational probabilistic  ...  MW was supported by University College London and the EPSRC Doctoral Training Centre for Delivering Quantum Technologies.  ... 
arXiv:2205.09844v1 fatcat:62k2du65xrgvxca6fqny2wbgue

Relativistic (2,3)-threshold quantum secret sharing

Mehdi Ahmadi, Ya-Dong Wu, Barry C. Sanders
2017 Physical Review D  
In quantum secret sharing protocols, the usual presumption is that the distribution of quantum shares and players' collaboration are both performed inertially.  ...  To this aim, we formulate the effect of relativistic motion on the quantum field inside a cavity as a bosonic quantum Gaussian channel.  ...  ACKNOWLEDGMENTS We thank Nicolai Friis, Masoud Habibi Davijani, and Abdullah Khalid for useful discussions and comments.  ... 
doi:10.1103/physrevd.96.065018 fatcat:62q55ayf5vc6lbbuzzcx4ds3ym

Extending XACC for Quantum Optimal Control [article]

Thien Nguyen, Anthony Santana, Alexander McCaskey
2020 arXiv   pre-print
Quantum computing vendors are beginning to open up application programming interfaces for direct pulse-level quantum control.  ...  In this work, we present an extension to the XACC system-level quantum-classical software framework that directly enables this compilation lowering phase via user-specified quantum optimal control techniques  ...  Pathfinder (QTP), and Accelerated Research in Quantum Computing (ARQC).  ... 
arXiv:2006.02837v1 fatcat:tfvfjcj2mrajffvr66khtpk6sa

Tomographic portrait of quantum channels [article]

G.G. Amosov, S. Mancini, V.I. Man'ko
2017 arXiv   pre-print
We formulate the notion of quantum channels in the framework of quantum tomography and address there the issue of whether such maps can be regarded as classical stochastic maps.  ...  In particular kernels of maps acting on probability representation of quantum states are derived for qubit and bosonic systems.  ...  (4) In this framework the symbol ωρ(x) of a quantum state (i.e. an operator ρ on H such thatρ > 0 and Trρ = 1) is said to be a quantum tomogram.  ... 
arXiv:1708.07697v1 fatcat:cpeb7s6wpzaw7jxonu4kcixcry

A Novel Framework for Simulation of Quantum Information System

Binh A. Nguyen
2020 International Journal of Advanced Trends in Computer Science and Engineering  
Then, we introduce the basic elements of Pauli channel model, and two basic quantum error correction codes to stabilize the quantum channel.  ...  In this discussion, a novel framework for quantum information system simulation is proposed which is based on MATLAB environment.  ...  In addition, any circuit is given as the series of unitary transformation applied to initial quantum state. These transformations can be represented by matrices form.  ... 
doi:10.30534/ijatcse/2020/129922020 fatcat:mhtg7rf3xfbktbuql4fvdte26a

Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions

Denis Rosset, Francesco Buscemi, Yeong-Cherng Liang
2018 Physical Review X  
Moreover, they only require the assumption of trusted inputs, known to be unavoidable for quantum channel verification.  ...  As such, the tests we propose are intrinsically different from the usual process tomography, for which the probes of both the input and the output of the channel must be trusted.  ...  One of the results of this work is to construct a framework to apply quantum statistical decision theory to the comparison of quantum channels and memories.  ... 
doi:10.1103/physrevx.8.021033 fatcat:ezs3oxzj6jbbdgti5moof6he6e

Modeling Quantum Optical Components, Pulses and Fiber Channels Using OMNeT++ [article]

Ryan D. L. Engle, Douglas D. Hodson, Michael R. Grimaila, Logan O. Mailloux, Colin V. McLaughlin, Gerald Baumgartner
2015 arXiv   pre-print
This paper presents the design of this framework including how OMNeT++'s abstractions have been utilized to model quantum optical components, optical pulses, fiber and free space channels.  ...  Quantum Key Distribution (QKD) is an innovative technology which exploits the laws of quantum mechanics to generate and distribute unconditionally secure cryptographic keys.  ...  quantum optical components, optical pulses, fiber and free space channels.  ... 
arXiv:1509.03091v1 fatcat:l23hoxybmfhjxhq5tbrto2qnqi

Page 2342 of Mathematical Reviews Vol. 56, Issue 6 [page]

1978 Mathematical Reviews  
An algorithm is proposed for a fast Haar transform, providing economy of computational time as compared with the transforms of Fourier and Hadamard.  ...  The channel is described in terms of a quantum-mechanical density operator p(t) whose temporal evolution is governed by a Hamiltonian operator, one term of which represents the free electromagnetic field  ... 

Transitional behavior of quantum Gaussian memory channels

C. Lupo, S. Mancini
2010 Physical Review A. Atomic, Molecular, and Optical Physics  
We address the question of optimality of entangled input states in quantum Gaussian memory channels.  ...  For a class of such channels, that can be traced back to the memoryless setting, we state a criterion which relate the optimality of entangled inputs to the symmetry properties of the channels' action.  ...  CONCLUSION In this paper we have provided a unified framework for some recent results about the performance of quantum Gaussian memory channels.  ... 
doi:10.1103/physreva.81.052314 fatcat:5lg4arbrrbfilnekttrryhtskm

Epistemic interpretations of quantum theory have a measurement problem [article]

Joshua B. Ruebeck, Piers Lillystone, Joseph Emerson
2019 arXiv   pre-print
Epistemic interpretations of quantum theory maintain that quantum states only represent incomplete information about the physical states of the world.  ...  Conversely, interpretations for which the wavefunction is real evade such restrictions despite remaining subject to long-standing criticism regarding physical discontinuity, indeterminism and the ambiguity  ...  When considering transformations this is called the prepare-transform-measure operational framework, and when we omit transformations it is the prepare-measure framework.  ... 
arXiv:1812.08218v2 fatcat:oq75dyp5c5fitbwnocyybtdara
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