US 11,900,213 B2
Quantum information processing method for computing transition amplitude, classical computer, quantum computer, and hybrid system
Yohei Ibe, Tokyo (JP); Yuya Nakagawa, Tokyo (JP); Takahiro Yamamoto, Tokyo (JP); and Kosuke Mitarai, Tokyo (JP)
Assigned to QUNASYS INC., Tokyo (JP)
Filed by QUNASYS INC., Tokyo (JP)
Filed on Aug. 3, 2021, as Appl. No. 17/392,677.
Claims priority of application No. 2020-132647 (JP), filed on Aug. 4, 2020.
Prior Publication US 2022/0044141 A1, Feb. 10, 2022
Int. Cl. G06F 1/06 (2006.01); G06N 10/00 (2022.01); G06F 15/16 (2006.01)
CPC G06N 10/00 (2019.01) [G06F 15/16 (2013.01)] 10 Claims
OG exemplary drawing
 
1. A quantum information processing method for computing a transition amplitude by processing executed on a hybrid system including a classical computer and a quantum computer, the processing comprising:
the quantum computer executing quantum measurement based on a quantum state pair configured by a first quantum state ψ1 and a second quantum state ψ2 so as to measure <ψ1|Pi|ψ2>, <ψ1|Uij,+|ψ2>, <ψ1|Uij,−|ψ2>, <ψ1|Pj|ψ2>, and <ψ1|PiPj|ψ2> in Equation (1) below, and outputting measurement results from the quantum measurement; and
the classical computer computing a transition amplitude |<ψ1|A|ψ2>|2 according to Equation (1) below, based on the measurement results for <ψ1|Pi|ψ2>, <ψ1|Uij,+|ψ2>, <ψ1|Uij,−|ψ2>, <ψ1|Pj|ψ2>, and <ψ1|PiPj|ψ2>

OG Complex Work Unit Math
wherein A is a physical quantity for computation of transition amplitude, i and j are indices for identifying a and P, a is a real number, P is a tensor product of a Pauli matrix, U is a unitary gate, and <ψ1|ψ2>=0.