Papers
Live trends in quantum computing research, updated daily from arXiv.
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Search for efficient formulations for Hamiltonian simulation of non-Abelian lattice gauge theories
Z. Davoudi, Indrakshi Raychowdhury, A. Shaw·Sep 24, 2020
Hamiltonian formulation of lattice gauge theories (LGTs) is the most natural framework for the purpose of quantum simulation, an area of research that is growing with advances in quantum-computing algorithms and hardware. It, therefore, remains an im...
Quantum circuits of CNOT gates
Marc Bataille·Sep 24, 2020
We study in details the algebraic structure underlying quantum circuits generated by CNOT gates. Our results allow us to propose polynomial heuristics to reduce the number of gates used in a given CNOT gates circuit and we also give algorithms to opt...
Distributing Graph States Across Quantum Networks
Alex Fischer, Don Towsley·Sep 23, 2020
Graph states are an important class of multipartite entangled quantum states. We propose a new approach for distributing graph states across a quantum network. We consider a quantum network consisting of nodes-quantum computers within which local ope...
Simpler (Classical) and Faster (Quantum) Algorithms for Gibbs Partition Functions
Srinivasan Arunachalam, Vojtěch Havlíček, G. Nannicini +2 more·Sep 23, 2020
We give classical and quantum algorithms for approximating partition functions of classical Hamiltonians at a given temperature. Specifically, we modify the classical algorithm of Štefankovič, Vempala and Vigoda (J. ACM, 56(3), 2009) to improve its s...
Quantum simulation of cosmic inflation
Junyu Liu, Yue Li·Sep 23, 2020
In this paper, we generalize Jordan-Lee-Preskill, an algorithm for simulating flat-space quantum field theories, to 3+1 dimensional inflationary spacetime. The generalized algorithm contains the encoding treatment, the initial state preparation, the ...
A Derivative-free Method for Quantum Perceptron Training in Multi-layered Neural Networks
T. M. Khan, A. Robles-Kelly·Sep 23, 2020
In this paper, we present a gradient-free approach for training multi-layered neural networks based upon quantum perceptrons. Here, we depart from the classical perceptron and the elemental operations on quantum bits, i.e. qubits, so as to formulate ...
Finding high-order Hadamard matrices by using quantum computers
A. B. Suksmono, Yuichiro Minato·Sep 23, 2020
Solving hard problems is one of the most important issues in computing to be addressed by a quantum computer. Previously, we have shown that the H-SEARCH; which is the problem of finding a Hadamard matrix (H-matrix) among all possible binary matrices...
A state-averaged orbital-optimized hybrid quantum–classical algorithm for a democratic description of ground and excited states
Saad Yalouz, Bruno Senjean, Jakob Günther +3 more·Sep 23, 2020
In the noisy intermediate-scale quantum (NISQ) era, solving the electronic structure problem from chemistry is considered as the ‘killer application’ for near-term quantum devices. In spite of the success of variational hybrid quantum/classical algor...
Quantum Assisted Eigensolver
Kishor Bharti·Sep 23, 2020
We propose a hybrid quantum-classical algorithm for approximating the ground state and ground state energy of a Hamiltonian. Once the Ansatz has been decided, the quantum part of the algorithm involves the calculation of two overlap matrices. The out...
Fast Black-Box Quantum State Preparation
Johannes Bausch·Sep 22, 2020
Quantum state preparation is an important ingredient for other higher-level quantum algorithms, such as Hamiltonian simulation, or for loading distributions into a quantum device to be used e.g. in the context of optimization tasks such as machine le...
Using quantum annealers to calculate ground state properties of molecules.
J. Copenhaver, Adam Wasserman, B. Wehefritz-Kaufmann·Sep 22, 2020
Quantum annealers are an alternative approach to quantum computing, which make use of the adiabatic theorem to efficiently find the ground state of a physically realizable Hamiltonian. Such devices are currently commercially available and have been s...
TIGER: Topology-aware Assignment using Ising machines Application to Classical Algorithm Tasks and Quantum Circuit Gates
Anastasiia Butko, Ilyas Turimbetov, George Michelogiannakis +3 more·Sep 21, 2020
Optimally mapping a parallel application to compute and communication resources is increasingly important as both system size and heterogeneity increase. A similar mapping problem exists in gate-based quantum computing where the objective is to map t...
Fault-tolerant fidelity based on few-qubit codes: Parity-check circuits for biased error channels
Dawei Jiao, Y. Li·Sep 21, 2020
In the shallow sub-threshold regime, fault-tolerant quantum computation requires a tremendous amount of qubits. In this paper, we study the error correction in the deep sub-threshold regime. We estimate the physical error rate for achieving the logic...
On the mathematical structure of quantum models of computation based on Hamiltonian minimisation
J. Biamonte·Sep 21, 2020
Determining properties of ground states of spin Hamiltonians remains a topic of central relevance connecting disciplines of mathematical, theoretical and applied physics. In the last few decades, ground state properties of physical systems have been ...
Variational simulation of Schwinger's Hamiltonian with polarization qubits
O. V. Borzenkova, G. Struchalin, A. Kardashin +5 more·Sep 21, 2020
The numerical emulation of quantum physics and quantum chemistry often involves an intractable number of degrees of freedom and admit no known approximations in a general form. In practice, representing quantum-mechanical states using available numer...
Optimal provable robustness of quantum classification via quantum hypothesis testing
Maurice Weber, Nana Liu, Bo Li +2 more·Sep 21, 2020
Quantum machine learning models have the potential to offer speedups and better predictive accuracy compared to their classical counterparts. However, these quantum algorithms, like their classical counterparts, have been shown to also be vulnerable ...
Cryogenic microwave loss in epitaxial Al/GaAs/Al trilayers for superconducting circuits
C. McRae, A. McFadden, R. Zhao +7 more·Sep 21, 2020
Epitaxially grown superconductor/dielectric/superconductor trilayers have the potential to form high-performance superconducting quantum devices and may even allow scalable superconducting quantum computing with low-surface-area qubits such as the me...
Towards quantum simulation of spin systems using continuous variable quantum devices
Razieh Annabestani, Brajesh Gupt, Bhaskar Roy Bardhan·Sep 20, 2020
We study Bosonic representation of spin Ising model with the application of simulating two level systems using continuous variable quantum processors. We decompose the time evolution of spin systems into a sequence of continuous variable logical gate...
Hybrid quantum-classical unsupervised data clustering based on the self-organizing feature map
I. D. Lazarev, Marek Narozniak, T. Byrnes +1 more·Sep 19, 2020
Unsupervised machine learning is one of the main techniques employed in artificial intelligence. Quantum computers offer opportunities to speed up such machine learning techniques. Here, we introduce an algorithm for quantum assisted unsupervised dat...
Equivalence of Three Classical Algorithms With Quantum Side Information: Privacy Amplification, Error Correction, and Data Compression
T. Tsurumaru·Sep 18, 2020
Privacy amplification (PA) is an indispensable component in classical and quantum cryptography. Error correction (EC) and data compression (DC) algorithms are also indispensable in classical and quantum information theory. We here study these three a...