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Category: Paper

Paper

Complexity of Digital Quantum Simulation in the Low-Energy Subspace: Applications and a Lower Bound

Weiyuan Gong, Shuo Zhou, and Tongyang Li,

Quantum 8, 1409 (2024).

Digital quantum simulation has broad applications in approximating unitary evolution of Hamiltonians. In practice, many simulation tasks for quantum systems focus on quantum states in the lo…

Paper

A proposal to demonstrate non-abelian anyons on a NISQ device

Jovan Jovanović, Carolin Wille, Daan Timmers, and Steven H. Simon,

Quantum 8, 1408 (2024).

In this work we present a proposal for realising non-Abelian anyons on a NISQ device. In particular we explore the feasibility of implementing the quantum double model $D(D_4)$. We propose tec…

Paper

Simulation-assisted learning of open quantum systems

Ke Wang and Xiantao Li,

Quantum 8, 1407 (2024).

Models for open quantum systems, which play important roles in electron transport problems and quantum computing, must take into account the interaction of the quantum system with the surrou…

Paper

Operational Quantum Mereology and Minimal Scrambling

Paolo Zanardi, Emanuel Dallas, Faidon Andreadakis, and Seth Lloyd,

Quantum 8, 1406 (2024).

In this paper we will attempt to answer the following question: what are the natural quantum subsystems which emerge out of a system's dynamical laws? To answer this question we first define…

Paper

Estimation of high-dimensional unitary transformations saturating the Quantum Cramér-Rao bound

J. Escandón-Monardes, D. Uzcátegui, M. Rivera-Tapia, S. P. Walborn, and A. Delgado,

Quantum 8, 1405 (2024).

We propose an estimation procedure for $d$-dimensional unitary transformations. For $d\gt2$, the unitary transformations close to the identity are estimated saturating the quantum Cramér-Rao bou…

Paper

Quantum-embeddable stochastic matrices

Fereshte Shahbeigi, Christopher T. Chubb, Ryszard Kukulski, Łukasz Pawela, and Kamil Korzekwa,

Quantum 8, 1404 (2024).

The classical embeddability problem asks whether a given stochastic matrix $T$, describing transition probabilities of a $d$-level system, can arise from the underlying homogeneous continuous-ti…

Paper

Subsystem CSS codes, a tighter stabilizer-to-CSS mapping, and Goursat’s Lemma

Michael Liaofan Liu, Nathanan Tantivasadakarn, and Victor V. Albert,

Quantum 8, 1403 (2024).

The CSS code construction is a powerful framework used to express features of a quantum code in terms of a pair of underlying classical codes. Its subsystem extension allows for similar expr…

Paper

Algebra of Nonlocal Boxes and the Collapse of Communication Complexity

Pierre Botteron, Anne Broadbent, Reda Chhaibi, Ion Nechita, and Clément Pellegrini,

Quantum 8, 1402 (2024).

Communication complexity quantifies how difficult it is for two distant computers to evaluate a function $f(X,Y)$, where the strings $X$ and $Y$ are distributed to the first and second computer re…

Paper

Matrix product state approximations to quantum states of low energy variance

Kshiti Sneh Rai, J. Ignacio Cirac, and Álvaro M. Alhambra,

Quantum 8, 1401 (2024).

We show how to efficiently simulate pure quantum states in one dimensional systems that have both finite energy density and vanishingly small energy fluctuations. We do so by studying the pe…

Paper

A new twist on the Majorana surface code: Bosonic and fermionic defects for fault-tolerant quantum computation

Campbell McLauchlan and Benjamin Béri,

Quantum 8, 1400 (2024).

Majorana zero modes (MZMs) are promising candidates for topologically-protected quantum computing hardware, however their large-scale use will likely require quantum error correction. Majora…

Paper

Lattice-Based Quantum Advantage from Rotated Measurements

Yusuf Alnawakhtha, Atul Mantri, Carl A. Miller, and Daochen Wang,

Quantum 8, 1399 (2024).

Trapdoor claw-free functions (TCFs) are immensely valuable in cryptographic interactions between a classical client and a quantum server. Typically, a protocol has the quantum server prepare…

Paper

Good Gottesman-Kitaev-Preskill codes from the NTRU cryptosystem

Jonathan Conrad, Jens Eisert, and Jean-Pierre Seifert,

Quantum 8, 1398 (2024).

We introduce a new class of random Gottesman-Kitaev-Preskill (GKP) codes derived from the cryptanalysis of the so-called NTRU cryptosystem. The derived codes are $good$ in that they exhibit co…

Paper

The Gauge Theory of Measurement-Based Quantum Computation

Gabriel Wong, Robert Raussendorf, and Bartlomiej Czech,

Quantum 8, 1397 (2024).

Measurement-Based Quantum Computation (MBQC) is a model of quantum computation, which uses local measurements instead of unitary gates. Here we explain that the MBQC procedure has a fundamen…

Paper

Graph-theoretic insights on the constructability of complex entangled states

L. Sunil Chandran and Rishikesh Gajjala,

Quantum 8, 1396 (2024).

The most efficient automated way to construct a large class of quantum photonic experiments is via abstract representation of graphs with certain properties. While new directions were explor…

Paper

On the practical usefulness of the Hardware Efficient Ansatz

Lorenzo Leone, Salvatore F.E. Oliviero, Lukasz Cincio, and M. Cerezo,

Quantum 8, 1395 (2024).

Variational Quantum Algorithms (VQAs) and Quantum Machine Learning (QML) models train a parametrized quantum circuit to solve a given learning task. The success of these algorithms greatly h…

Paper

Error-corrected Hadamard gate simulated at the circuit level

György P. Gehér, Campbell McLauchlan, Earl T. Campbell, Alexandra E. Moylett, and Ophelia Crawford,

Quantum 8, 1394 (2024).

We simulate the logical Hadamard gate in the surface code under a circuit-level noise model, compiling it to a physical circuit on square-grid connectivity hardware. Our paper is the first t…

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  • Eric Cavalcanti
  • Sevag Gharibian
  • Ujjwal Sen
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  • Jin-Peng Liu
  • Yuan Liu
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  • Leon Loveridge
  • Tommaso Macrì
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