Single-shot quantum measurements sketch quantum many-body states
arXiv:2203.01348 · doi:10.1103/PhysRevB.107.L161101
Abstract
Quantum measurements are our eyes to the quantum systems consisting of a multitude of microscopic degrees of freedom. However, the intrinsic uncertainty of quantum measurements and the exponentially large Hilbert space pose natural barriers to simple interpretations of the measurement outcomes. We propose a nonlinear "measurement energy" based upon the measurement outcomes and an iterative effective-Hamiltonian approach to extract the most probable states (maximum likelihood estimates) in an efficient and general fashion, thus reconciling the non-commuting observables and getting more out of the quantum measurements. We showcase the versatility and accuracy of our perspective on random long-range fermion models and Kitaev quantum spin liquid models, where smoking-gun signatures were lacking. Our study also paves the way towards concepts such as nonlinear-operator Hamiltonian and applications such as parent Hamiltonian reconstruction.
6 pages, 5 figures
References in corpus (13)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- Theory of Intertwined Orders in High Temperature Superconductors
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Quantum phases of Rydberg atoms on a kagome lattice
- Diluted maximum-likelihood algorithm for quantum tomography
- Entanglement entropy of critical spin liquids
- Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
- Electron pairing in the pseudogap state revealed by shot noise in copper-oxide junctions
- Entanglement Entropy as a Portal to the Physics of Quantum Spin Liquids
- Electronic heat flow and thermal shot noise in quantum circuits
- Incomplete quantum state estimation: a comprehensive study
- General procedure for determining braiding and statistics of anyons using entanglement interferometry