公开(公告)号：US20240428111A1

公开(公告)日：2024-12-26

申请号：US18747642

申请日：2024-06-19

Applicant: BULL SAS

Inventor： Maxime OLIVA

IPC: G06N10/40 ,  H10N60/80

Abstract: Method for determining a lower bound of a fidelity of an approximated final state, comprising: receiving an initial state in a matrix product representation; receiving a quantum circuit comprising gates; iterating over the gates: applying a current gate to the initial state; if the current gate is a two-qubit gate, factorizing a portion of the updated state by SVD into a product of a unitary matrix, a diagonal matrix, and a unitary matrix; if a bond dimension of the diagonal matrix exceeds a threshold: truncating the diagonal matrix such that the bond dimension does not exceed said threshold, and determining a truncation fidelity; in a next iteration, using the updated state as the initial state; determining a lower bound of the fidelity of the approximated final state as a product of the truncation fidelities.

公开(公告)号：US20240428116A1

公开(公告)日：2024-12-26

申请号：US18748416

申请日：2024-06-20

Applicant: BULL SAS

Inventor： Maxime OLIVA

IPC: G06N10/70 ,  G06N10/20

Abstract: Method for determining an approximated final state having a fidelity above a bound, comprising: receiving an initial state; receiving a quantum circuit comprising gates; defining a lower bound of the fidelity; iterating over the gates: applying a current gate to the initial state; if the current gate is a two-qubit gate, factorizing a portion of the updated state by SVD into a product of a unitary matrix, a diagonal matrix, and a unitary matrix; truncating the bond dimension of the diagonal matrix to a target bond dimension such that a product of a truncation fidelity of the truncated matrix, truncation fidelities of previously truncated matrices and future target truncation fidelities is greater than the bound; in a next iteration, using the updated state as initial state; defining an approximated final state equal to the updated state of a last iteration.

公开(公告)号：US20250036992A1

公开(公告)日：2025-01-30

申请号：US18371503

申请日：2023-09-22

Applicant: BULL SAS

Inventor： Simon MARTIEL ,  Maxime OLIVA

IPC: G06N10/20

Abstract: A computer-implemented method for generating a program to be executed using a quantum computer for producing as output a target quantum state based on an initial quantum state used as input is proposed, which comprises: determining an approximated quantum state which is an approximation of the target quantum state; determining a quantum circuit which, based on the initial quantum state received used as input, produces as output an output quantum state that corresponds to the approximated quantum state; and generating the program based on the determined circuit.