Papers
Live trends in quantum computing research, updated daily from arXiv.
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Fastest Local Entanglement Scrambler, Multistage Thermalization, and a Non-Hermitian Phantom
J. Bensa, M. Znidaric·Jan 14, 2021
We study random quantum circuits and their rate of producing bipartite entanglement, specifically with respect to the choice of 2-qubit gates and the order (protocol) in which these are applied. The problem is mapped to a Markovian process and proved...
Efficient Hamiltonian simulation for solving option price dynamics
Javier Gonzalez-Conde, Ángel Rodríguez-Rozas, E. Solano +1 more·Jan 11, 2021
Pricing financial derivatives, in particular European-style options at different time-maturities and strikes, means a relevant problem in finance. The dynamics describing the price of vanilla options when constant volatilities and interest rates are ...
MDS linear codes with one-dimensional hull
Lin Sok·Dec 21, 2020
The hull of a linear code C is the intersection of C with its dual C⊥, where the dual is often defined with respect to Euclidean or Hermitian inner product. The Euclidean hull with low dimensions gets much interest due to its crucial role in determin...
Variational Quantum Eigensolvers for Sparse Hamiltonians.
William M. Kirby, P. Love·Dec 13, 2020
Hybrid quantum-classical variational algorithms such as the variational quantum eigensolver (VQE) and the quantum approximate optimization algorithm (QAOA) are promising applications for noisy, intermediate-scale quantum computers. Both VQE and QAOA ...
An efficient adaptive variational quantum solver of the Schrödinger equation based on reduced density matrices.
Jie Liu, Zhenyu Li, Jinlong Yang·Dec 13, 2020
Recently, adaptive variational quantum algorithms, e.g., Adaptive Derivative-Assembled Pseudo-Trotter-Variational Quantum Eigensolver (ADAPT-VQE) and Iterative Qubit-Excitation Based-Variational Quantum Eigensolver (IQEB-VQE), have been proposed to o...
Variational quantum algorithms for trace distance and fidelity estimation
Ranyiliu Chen, Zhixin Song, Xuanqiang Zhao +1 more·Dec 10, 2020
Estimating the difference between quantum data is crucial in quantum computing. However, as typical characterizations of quantum data similarity, the trace distance and quantum fidelity are believed to be exponentially-hard to evaluate in general. In...
Quantum computing for atomic and molecular resonances.
Teng Bian, S. Kais·Nov 27, 2020
The complex-scaling method can be used to calculate molecular resonances within the Born-Oppenheimer approximation, assuming that the electronic coordinates are dilated independently of the nuclear coordinates. With this method, one will calculate th...
Solving generalized eigenvalue problems by ordinary differential equations on a quantum computer
Changpeng Shao, Jin-Peng Liu·Oct 28, 2020
Many eigenvalue problems arising in practice are often of the generalized form Ax=λBx. One particularly important case is symmetric, namely A,B are Hermitian and B is positive definite. The standard algorithm for solving this class of eigenvalue prob...
Near- and long-term quantum algorithmic approaches for vibrational spectroscopy
Nicolas P. D. Sawaya, F. Paesani, Daniel P. Tabor·Sep 10, 2020
Determining the vibrational structure of a molecule is central to fundamental applications in several areas, from atmospheric science to catalysis, fuel combustion modeling, biochemical imaging, and astrochemistry. However, when significant anharmoni...
Solving the Liouvillian Gap with Artificial Neural Networks.
D. Yuan, He Wang, Zhong Wang +1 more·Aug 31, 2020
We propose a machine-learning inspired variational method to obtain the Liouvillian gap, which plays a crucial role in characterizing the relaxation time and dissipative phase transitions of open quantum systems. By using "spin bi-base mapping," we m...
Anti- PT -symmetric qubit: Decoherence and entanglement entropy
Julia Cen, A. Saxena·Aug 11, 2020
We investigate a two-level spin system based anti-parity-time (anti-$\mathcal{PT}$)-symmetric qubit and study its decoherence as well as entanglement entropy properties. We compare our findings with that of the corresponding $\mathcal{PT}$-symmetric ...
Experimental semi-autonomous eigensolver using reinforcement learning
ComputationsVictor Y. Pan, M. Hao, N. Barraza +2 more·Jul 30, 2020
The characterization of observables, expressed via Hermitian operators, is a crucial task in quantum mechanics. For this reason, an eigensolver is a fundamental algorithm for any quantum technology. In this work, we implement a semi-autonomous algori...
Wishart and random density matrices: Analytical results for the mean-square Hilbert-Schmidt distance
Santosh Kumar·Jul 6, 2020
Hilbert-Schmidt distance is one of the prominent distance measures in quantum information theory which finds applications in diverse problems, such as construction of entanglement witnesses, quantum algorithms in machine learning, and quantum-state t...
Un-Weyl-ing the Clifford Hierarchy
Tefjol Pllaha, Narayanan Rengaswamy, O. Tirkkonen +1 more·Jun 24, 2020
The teleportation model of quantum computation introduced by Gottesman and Chuang (1999) motivated the development of the Clifford hierarchy. Despite its intrinsic value for quantum computing, the widespread use of magic state distillation, which is ...
Constructing driver Hamiltonians for optimization problems with linear constraints
H. Leipold, F. Spedalieri·Jun 22, 2020
Recent advances in the field of adiabatic quantum computing and the closely related field of quantum annealing have centered around using more advanced and novel Hamiltonian representations to solve optimization problems. One of these advances has ce...
Improving the accuracy of quantum computational chemistry using the transcorrelated method
Sam McArdle, D. Tew·Jun 19, 2020
Accurately treating electron correlation in the wavefunction is a key challenge for both classical and quantum computational chemistry. Classical methods have been developed which explicitly account for this correlation by incorporating inter-electro...
Sign Problems in Quantum Field Theory: Classical and Quantum Approaches
S. Lawrence·Jun 5, 2020
Monte Carlo calculations in the framework of lattice field theory provide non-perturbative access to the equilibrium physics of quantum fields. When applied to certain fermionic systems, or to the calculation of out-of-equilibrium physics, these meth...
Variational Quantum Singular Value Decomposition
Xin Wang, Zhixin Song, Youle Wang·Jun 3, 2020
Singular value decomposition is central to many problems in engineering and scientific fields. Several quantum algorithms have been proposed to determine the singular values and their associated singular vectors of a given matrix. Although these algo...
Experimental simulation of the parity-time symmetric dynamics using photonic qubits
Wei-Chao Gao, Chao Zheng, Lu Liu +2 more·Apr 19, 2020
The concept of parity-time (PT) symmetry originates from the framework of quantum mechanics, where if the Hamiltonian operator satisfies the commutation relation with the parity and time operators, it shows all real eigen-energy spectrum. Recently, P...
Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics
I. Joseph·Mar 22, 2020
Quantum computers can be used to simulate nonlinear non-Hamiltonian classical dynamics on phase space by using the generalized Koopman-von Neumann formulation of classical mechanics. The Koopman-von Neumann formulation implies that the conservation o...