Paper – Quantum

Paper

Quantum Algorithms for Simulating the Lattice Schwinger Model

Alexander F. Shaw, Pavel Lougovski, Jesse R. Stryker, and Nathan Wiebe,

Quantum 4, 306 (2020).

The Schwinger model (quantum electrodynamics in 1+1 dimensions) is a testbed for the study of quantum gauge field theories. We give scalable, explicit digital quantum algorithms to simulate…

1910.03969v2

Paper

Mapping graph state orbits under local complementation

Jeremy C. Adcock, Sam Morley-Short, Axel Dahlberg, and Joshua W. Silverstone,

Quantum 4, 305 (2020).

Graph states, and the entanglement they posses, are central to modern quantum computing and communications architectures. Local complementation – the graph operation that links all local-Cli…

Paper

On maximum-likelihood decoding with circuit-level errors

Leonid P. Pryadko,

Quantum 4, 304 (2020).

Error probability distribution associated with a given Clifford measurement circuit is described exactly in terms of the circuit error-equivalence group, or the circuit subsystem code previo…

Paper

A robust W-state encoding for linear quantum optics

Madhav Krishnan Vijayan, Austin P. Lund, and Peter P. Rohde,

Quantum 4, 303 (2020).

Error-detection and correction are necessary prerequisites for any scalable quantum computing architecture. Given the inevitability of unwanted physical noise in quantum systems and the prop…

Paper

Sum-of-squares decompositions for a family of noncontextuality inequalities and self-testing of quantum devices

Debashis Saha, Rafael Santos, and Remigiusz Augusiak,

Quantum 4, 302 (2020).

Violation of a noncontextuality inequality or the phenomenon referred to `quantum contextuality' is a fundamental feature of quantum theory. In this article, we derive a novel family of nonc…

Paper

Law without law: from observer states to physics via algorithmic information theory

Markus P. Müller,

Quantum 4, 301 (2020).

According to our current conception of physics, any valid physical theory is supposed to describe the objective evolution of a unique external world. However, this condition is challenged by…

Paper

A link between symmetries of critical states and the structure of SLOCC classes in multipartite systems

Oskar Słowik, Martin Hebenstreit, Barbara Kraus, and Adam Sawicki,

Quantum 4, 300 (2020).

Central in entanglement theory is the characterization of local transformations among pure multipartite states. As a first step towards such a characterization, one needs to identify those s…

Paper

Entanglement-breaking superchannels

Senrui Chen and Eric Chitambar,

Quantum 4, 299 (2020).

In this paper we initiate the study of entanglement-breaking (EB) superchannels. These are processes that always yield separable maps when acting on one side of a bipartite completely positi…

Paper

Quasirandom quantum channels

Tom Bannink, Jop Briët, Farrokh Labib, and Hans Maassen,

Quantum 4, 298 (2020).

Mixing (or quasirandom) properties of the natural transition matrix associated to a graph can be quantified by its distance to the complete graph. Different mixing properties correspond to d…

Paper

A Quantum Money Solution to the Blockchain Scalability Problem

Andrea Coladangelo and Or Sattath,

Quantum 4, 297 (2020).

We put forward the idea that classical blockchains and smart contracts are potentially useful primitives not only for classical cryptography, but for quantum cryptography as well. Abstractly…

Paper

Improved Fault-Tolerant Quantum Simulation of Condensed-Phase Correlated Electrons via Trotterization

Ian D. Kivlichan, Craig Gidney, Dominic W. Berry, Nathan Wiebe, Jarrod McClean, Wei Sun, Zhang Jiang, Nicholas Rubin, Austin Fowler, Alán Aspuru-Guzik, Hartmut Neven, and Ryan Babbush,

Quantum 4, 296 (2020).

Recent work has deployed linear combinations of unitaries techniques to reduce the cost of fault-tolerant quantum simulations of correlated electron models. Here, we show that one can someti…

Paper

Generating Fault-Tolerant Cluster States from Crystal Structures

Michael Newman, Leonardo Andreta de Castro, and Kenneth R. Brown,

Quantum 4, 295 (2020).

Measurement-based quantum computing (MBQC) is a promising alternative to traditional circuit-based quantum computing predicated on the construction and measurement of cluster states. Recent…

Paper

Cellular automata in operational probabilistic theories

Paolo Perinotti,

Quantum 4, 294 (2020).

The theory of cellular automata in operational probabilistic theories is developed. We start introducing the composition of infinitely many elementary systems, and then use this notion to de…

Paper

The Platonic solids and fundamental tests of quantum mechanics

Armin Tavakoli and Nicolas Gisin,

Quantum 4, 293 (2020).

The Platonic solids is the name traditionally given to the five regular convex polyhedra, namely the tetrahedron, the octahedron, the cube, the icosahedron and the dodecahedron. Perhaps stro…

Paper

Squeezing metrology: a unified framework

Lorenzo Maccone and Alberto Riccardi,

Quantum 4, 292 (2020).

Quantum metrology theory has up to now focused on the resolution gains obtainable thanks to the entanglement among $N$ probes. Typically, a quadratic gain in resolution is achievable, going fr…

Paper

Option Pricing using Quantum Computers

Nikitas Stamatopoulos, Daniel J. Egger, Yue Sun, Christa Zoufal, Raban Iten, Ning Shen, and Stefan Woerner,

Quantum 4, 291 (2020).

We present a methodology to price options and portfolios of options on a gate-based quantum computer using amplitude estimation, an algorithm which provides a quadratic speedup compared to c…