TY - JOUR
T1 - Strong Unitary and Overlap Uncertainty Relations
T2 - Theory and Experiment
AU - Bong, Kok-Wei
AU - Tischler, Nora
AU - Patel, Raj B
AU - Wollmann, Sabine
AU - Pryde, Geoff J
AU - Hall, Michael J W
PY - 2018/6/5
Y1 - 2018/6/5
N2 - We derive and experimentally investigate a strong uncertainty relation valid for any n unitary operators, which implies the standard uncertainty relation and others as special cases, and which can be written in terms of geometric phases. It is saturated by every pure state of any n-dimensional quantum system, generates a tight overlap uncertainty relation for the transition probabilities of any n+1 pure states, and gives an upper bound for the out-of-time-order correlation function. We test these uncertainty relations experimentally for photonic polarization qubits, including the minimum uncertainty states of the overlap uncertainty relation, via interferometric measurements of generalized geometric phases.
AB - We derive and experimentally investigate a strong uncertainty relation valid for any n unitary operators, which implies the standard uncertainty relation and others as special cases, and which can be written in terms of geometric phases. It is saturated by every pure state of any n-dimensional quantum system, generates a tight overlap uncertainty relation for the transition probabilities of any n+1 pure states, and gives an upper bound for the out-of-time-order correlation function. We test these uncertainty relations experimentally for photonic polarization qubits, including the minimum uncertainty states of the overlap uncertainty relation, via interferometric measurements of generalized geometric phases.
KW - QETlabs
UR - http://www.scopus.com/inward/record.url?scp=85048344635&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.120.230402
DO - 10.1103/PhysRevLett.120.230402
M3 - Article (Academic Journal)
C2 - 29932718
VL - 120
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 23
M1 - 230402
ER -