Papers
Live trends in quantum computing research, updated daily from arXiv.
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Hardware platform mentions in abstracts — Photonic leads
Topological graph states and quantum error-correction codes
Pengcheng Liao, B. Sanders, D. Feder·Dec 5, 2021
Deciding if a given family of quantum states is topologically ordered is an important but nontrivial problem in condensed matter physics and quantum information theory. We derive necessary and sufficient conditions for a family of graph states to be in...
Local integrals of motion detection of localization-protected topological order
T. Wahl, F. Venn, B. B'eri·Nov 22, 2021
Many-body-localized (MBL) phases can be topologically distinct, but distinguishing these phases using order parameters can be challenging. Here we show how topologically distinct local integrals of motion, variationally parametrized by quantum circui...
Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids.
Yue Liu, K. Slagle, K. Burch +1 more·Nov 17, 2021
Relativistic Mott insulators known as "Kitaev materials" potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation protocol that ...
Unsupervised Learning of Symmetry Protected Topological Phase Transitions
En-Jui Kuo, Hossein Dehghani·Nov 16, 2021
Symmetry-protected topological (SPT) phases are short-range entangled phases of matter with a non-local order parameter which are preserved under a local symmetry group. Here, by using unsupervised learning algorithm, namely the diffusion maps, we de...
Quantum Phase Recognition via Quantum Kernel Methods
Yusen Wu, Bujiao Wu, Jingbo B. Wang +1 more·Nov 15, 2021
The application of quantum computation to accelerate machine learning algorithms is one of the most promising areas of research in quantum algorithms. In this paper, we explore the power of quantum learning algorithms in solving an important class of...
Efficient multi-qubit subspace rotations via topological quantum walks
X. Gu, J. Allcock, S. An +1 more·Nov 12, 2021
The rotation of subspaces by a chosen angle is a fundamental quantum computing operation, with applications in error correction and quantum algorithms such as the Quantum Approximate Optimization Algorithm, the Variational Quantum Eigensolver and the...
Topologically driven no-superposing theorem with a tight error bound
Zuzana Gavorov'a·Nov 3, 2021
To better understand quantum computation we can search for its limits or no-gos, especially if analogous limits do not appear in classical computation. Classical computation easily implements and extensively employs the addition of two bit strings,...
Weighted Quantum Channel Compiling through Proximal Policy Optimization
Weiyuan Gong, Sicheng Jiang, D. Deng·Nov 3, 2021
We propose a general and systematic strategy to compile arbitrary quantum channels without using ancillary qubits, based on proximal policy optimization -- a powerful deep reinforcement learning algorithm. We rigorously prove that, in sharp contrast ...
Quality factor for zero-bias conductance peaks in Majorana nanowire
Y. Lai, S. Das Sarma, J. Sau·Nov 1, 2021
Despite recent experimental progress towards observing large zero-bias conductance peaks (ZBCPs) as signatures of Majorana modes, confusion remains about whether Majorana modes have been observed. This is in part due to the theoretical prediction of ...
Magnetic Field Resilience of Three-Dimensional Transmons with Thin-Film <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:msub><mml:mtext>Al/AlO</mml:mtext><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mtext>Al</mml:mtext></mml:math> Josephson J
J. Krause, C. Dickel, E. Vaal +6 more·Nov 1, 2021
Magnetic-field-resilient superconducting circuits enable sensing applications and hybrid quantum-computing architectures involving spin or topological qubits and electro-mechanical elements, as well as studying flux noise and quasiparticle loss. We i...
Quantum algorithm for persistent Betti numbers and topological data analysis
Ryuuichirou Hayakawa*·Oct 31, 2021
Topological data analysis (TDA) is an emergent field of data analysis. The critical step of TDA is computing the persistent Betti numbers. Existing classical algorithms for TDA are limited if we want to learn from high-dimensional topological feature...
The role of cohomology in quantum computation with magic states
R. Raussendorf, C. Okay, Michael Zurel +1 more·Oct 22, 2021
A web of cohomological facts relates quantum error correction, measurement-based quantum computation, symmetry protected topological order and contextuality. Here we extend this web to quantum computation with magic states. In this computational sche...
Sampling diverse near-optimal solutions via algorithmic quantum annealing.
M. Mohseni, M. Rams, S. Isakov +5 more·Oct 20, 2021
Sampling a diverse set of high-quality solutions for hard optimization problems is of great practical relevance in many scientific disciplines and applications, such as artificial intelligence and operations research. One of the main open problems is...
Quantum simulation and ground state preparation for the honeycomb Kitaev model
Tatiana A. Bespalova, O. Kyriienko·Sep 28, 2021
We propose a quantum protocol that allows preparing a ground state (GS) of the honeycomb Kitaev model. Our approach efficiently uses underlying symmetries and techniques from topological error correction. It is based on the stabilization procedure, t...
All-Photonic Architecture for Scalable Quantum Computing with Greenberger-Horne-Zeilinger States
S. Omkar, Seok-Hyung Lee, Yong-Siah Teo +2 more·Sep 25, 2021
Linear optical quantum computing is beset by the lack of deterministic entangling operations besides photon loss. Motivated by advancements at the experimental front in deterministic generation of various kinds of multiphoton entangled states, we pro...
Realizing quantum convolutional neural networks on a superconducting quantum processor to recognize quantum phases
J. Herrmann, Sergi Masot Llima, A. Remm +15 more·Sep 13, 2021
Quantum computing crucially relies on the ability to efficiently characterize the quantum states output by quantum hardware. Conventional methods which probe these states through direct measurements and classically computed correlations become comput...
Streamlined quantum computing with macronode cluster states
B. W. Walshe, R. N. Alexander, N. Menicucci +1 more·Sep 10, 2021
Continuous-variable cluster states allow for fault-tolerant measurement-based quantum computing when used in tandem with the Gottesman-Kitaev-Preskill (GKP) encoding of a qubit into a bosonic mode. For quad-rail-lattice macronode cluster states, whos...
Constructing Approximately Diagonal Quantum Gates
Colton Griffin, Shawn X. Cui·Sep 10, 2021
We study a method of producing approximately diagonal 1-qubit gates. For each positive integer, the method provides a sequence of gates that are defined iteratively from a fixed diagonal gate and an arbitrary gate. These sequences are conjectured to ...
Algorithm for computing Representations of the Braid Group and Temperley-Lieb algebra
Yitzchak Shmalo·Sep 7, 2021
The braid group appears in many scientific fields and its representations are instrumental in understanding topological quantum algorithms, topological entropy, classification of manifolds and so on. In this work, we study planer diagrams which are K...
Universal Quantum Computing with Twist-Free and Temporally Encoded Lattice Surgery
C. Chamberland, E. Campbell·Sep 6, 2021
Lattice surgery protocols allow for the efficient implementation of universal gate sets with two-dimensional topological codes where qubits are constrained to interact with one another locally. In this work, we first introduce a decoder capable of co...