Minimizing the trace of S^{-1}H over non-orthogonal variational states simultaneously finds several low-lying eigenstates, demonstrated with matrix product states, quantics tensor trains, and quantum circuits.
Shallow quantum circuits are robust hunters for quantum many-body scars
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Presently, noisy intermediate-scale quantum computers encounter significant technological challenges that make it impossible to generate large amounts of entanglement. We leverage this technological constraint as a resource and demonstrate that a shallow variational eigensolver can be trained to successfully target quantum many-body scar states. Scars are area-law high-energy eigenstates of quantum many-body Hamiltonians, which are sporadic and immersed in a sea of volume-law eigenstates. We show that the algorithm is robust and can be used as a versatile diagnostic tool to uncover quantum many-body scars in arbitrary physical systems.
fields
quant-ph 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
A Unified Variational Framework for Quantum Excited States
Minimizing the trace of S^{-1}H over non-orthogonal variational states simultaneously finds several low-lying eigenstates, demonstrated with matrix product states, quantics tensor trains, and quantum circuits.