TY - JOUR
T1 - Evolution-free Hamiltonian parameter estimation through Zeeman markers
AU - Burgarth, Daniel
AU - Ajoy, Ashok
N1 - Copyright the Author(s) 2017. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.
PY - 2017/7/21
Y1 - 2017/7/21
N2 - We provide a protocol for Hamiltonian parameter estimation which relies only on the Zeeman effect. No time-dependent quantities need to be measured; it fully suffices to observe spectral shifts induced by fields applied to local "markers." We demonstrate the idea with a simple tight-binding Hamiltonian and numerically show stability with respect to Gaussian noise on the spectral measurements. Then we generalize the result to show applicability to a wide range of systems, including quantum spin chains, networks of qubits, and coupled harmonic oscillators, and suggest potential experimental implementations.
AB - We provide a protocol for Hamiltonian parameter estimation which relies only on the Zeeman effect. No time-dependent quantities need to be measured; it fully suffices to observe spectral shifts induced by fields applied to local "markers." We demonstrate the idea with a simple tight-binding Hamiltonian and numerically show stability with respect to Gaussian noise on the spectral measurements. Then we generalize the result to show applicability to a wide range of systems, including quantum spin chains, networks of qubits, and coupled harmonic oscillators, and suggest potential experimental implementations.
UR - http://www.scopus.com/inward/record.url?scp=85026914335&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.119.030402
DO - 10.1103/PhysRevLett.119.030402
M3 - Article
C2 - 28777617
AN - SCOPUS:85026914335
VL - 119
SP - 1
EP - 5
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 3
M1 - 030402
ER -