Hamiltonian Forging of a Thermofield Double
arXiv:2311.10566 · doi:10.1103/PhysRevA.111.012432
Abstract
We address the variational preparation of the Thermofield Double as the ground state of a suitably engineered Hamiltonian acting on the doubled Hilbert space. Through the use of the Entanglement Forging ansatz, we propose a solution that involves only circuits of width . We illustrate the method with generic fermionic Hamiltonians. The free fermion case can be solved in closed form, and yields a warm start state for the variational circuits whenever interactions are present. As an important side product, this method returns the complete energy spectrum and eigenbasis of the system.
15 pages, 9 figures
References in corpus (27)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Towards Practical Quantum Variational Algorithms
- Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
- Variational ansatz-based quantum simulation of imaginary time evolution
- Variational Quantum Computation of Excited States
- Subspace-search variational quantum eigensolver for excited states
- Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
- Is there evidence for exponential quantum advantage in quantum chemistry?
- Exploring entanglement and optimization within the Hamiltonian Variational Ansatz
- Efficient simulation of finite-temperature open quantum systems
- Doubling the size of quantum simulators by entanglement forging
- Variational Thermal Quantum Simulation via Thermofield Double States
- Thermofield-based chain mapping approach for open quantum systems
- How to Build the Thermofield Double State
- Fermionic Gaussian states: an introduction to numerical approaches
- ADAPT-VQE is insensitive to rough parameter landscapes and barren plateaus
- Variational preparation of finite-temperature states on a quantum computer
- Quantum Singular Value Decomposer
- Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes
- Efficient simulation of open quantum systems coupled to a fermionic bath
- Quantum algorithms for approximate function loading
- Quantum Information Scrambling: From Holography to Quantum Simulators
- Variational Gibbs State Preparation on NISQ devices
- Entanglement and Confinement in Coupled Quantum Systems
- Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double
- Quantifying the effect of interactions in quantum many-body systems
- Entangled Cloning of Stabilizer Codes and Free Fermions