Parallel-sequential circuits provide a tunable family of quantum circuit layouts that numerically outperform brickwall, sequential, and log-depth circuits for 1D ground-state preparation under realistic noise models.
An adaptive variational algorithm for exact molecular simulations on a quantum computer
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abstract
Quantum simulation of chemical systems is one of the most promising near-term applications of quantum computers. The variational quantum eigensolver, a leading algorithm for molecular simulations on quantum hardware, has a serious limitation in that it typically relies on a pre-selected wavefunction ansatz that results in approximate wavefunctions and energies. Here we present an arbitrarily accurate variational algorithm that instead of fixing an ansatz upfront, this algorithm grows it systematically one operator at a time in a way dictated by the molecule being simulated. This generates an ansatz with a small number of parameters, leading to shallow-depth circuits. We present numerical simulations, including for a prototypical strongly correlated molecule, which show that our algorithm performs much better than a unitary coupled cluster approach, in terms of both circuit depth and chemical accuracy. Our results highlight the potential of our adaptive algorithm for exact simulations with present-day and near-term quantum hardware.
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Introduces an entanglement-based technique using Schmidt decompositions to isolate exclusive scattering channels in Matrix Product State simulations of quantum field theories, demonstrated for heavy particle detection in the 1D Ising model.
A quantum simulation framework is developed and demonstrated for energy loss and hadronization of a heavy quark in 1+1D SU(2) lattice gauge theory on 18 qubits of IBM hardware, with results matching classical simulations.
New criteria reveal VQE needs fault-tolerant quantum computers due to decoherence and QPE has exponentially suppressed success probability from orthogonality catastrophe in classical input states.
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State preparation with parallel-sequential circuits
Parallel-sequential circuits provide a tunable family of quantum circuit layouts that numerically outperform brickwall, sequential, and log-depth circuits for 1D ground-state preparation under realistic noise models.
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Exclusive Scattering Channels from Entanglement Structure in Real-Time Simulations
Introduces an entanglement-based technique using Schmidt decompositions to isolate exclusive scattering channels in Matrix Product State simulations of quantum field theories, demonstrated for heavy particle detection in the 1D Ising model.
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A Framework for Quantum Simulations of Energy-Loss and Hadronization in Non-Abelian Gauge Theories: SU(2) Lattice Gauge Theory in 1+1D
A quantum simulation framework is developed and demonstrated for energy loss and hadronization of a heavy quark in 1+1D SU(2) lattice gauge theory on 18 qubits of IBM hardware, with results matching classical simulations.
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Feasibility of performing quantum chemistry calculations on quantum computers
New criteria reveal VQE needs fault-tolerant quantum computers due to decoherence and QPE has exponentially suppressed success probability from orthogonality catastrophe in classical input states.