5 papers
Mid-Circuit Measurements for Clifford Noise Reduction in Hamiltonian Simulations
James Brown, Jason Iaconis, Yuri Alexeev +6
Quantum simulation of fermionic Hamiltonians is a leading application of quantum computing, but accurate execution on present-day hardware is limited by error accumulation in deep…
Quantum time dynamics mediated by the Yang-Baxter equation and artificial neural networks
Sahil Gulania, Yuri Alexeev, Stephen K. Gray +2
Quantum computing shows great potential, but errors pose a significant challenge. This study explores new strategies for mitigating quantum errors using artificial neural networks…
Symmetries and Dimension Reduction in Quantum Approximate Optimization Algorithm
Boris Tsvelikhovskiy, Ilya Safro, Yuri Alexeev
In this paper, the Quantum Approximate Optimization Algorithm (QAOA) is analyzed by leveraging symmetries inherent in problem Hamiltonians. We focus on the generalized formulation…
Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation
Oluwadara Ogunkoya, Joonho Kim, Bo Peng +2
Quantum information processing has witnessed significant advancements through the application of qubit-based techniques within universal gate sets. Recently, exploration beyond the…
Hybrid algorithm for the time-dependent Hartree-Fock method using the Yang-Baxter equation on quantum computers
Sahil Gulania, Stephen K. Gray, Yuri Alexeev +2
The time-dependent Hartree-Fock (TDHF) method is an approach to simulate the mean field dynamics of electrons within the assumption that the electrons move independently in their s…