The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.

The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.

Date of Patent:
Dec. 09, 2025

Filed:

Nov. 18, 2022
Applicants:

Goldman Sachs & Co. Llc, New York, NY (US);

International Business Machines Corporation, Armonk, NY (US);

Inventors:

Nikitas Stamatopoulos, New York, NY (US);

Guglielmo Mazzola, Zurich, CH;

Stefan Woerner, Zurich, CH;

William J. Zeng, New York, NY (US);

Assignee:

Goldman Sachs & Co. LLC, New York, NY (US);

Attorney:
Primary Examiner:
Int. Cl.
CPC ...
G06N 10/60 (2022.01); G06N 10/20 (2022.01);
U.S. Cl.
CPC ...
G06N 10/60 (2022.01); G06N 10/20 (2022.01);
Abstract

Described herein are quantum gradient algorithms that result in a quantum advantage over conventional methods. In an example, a quantum circuit is configured to implement a quantum gradient algorithm when executed on qubits of a quantum computing system. The quantum gradient algorithm includes a phase oracle Odefined by a finite difference approximation with an order greater than zero, and a complexity of the quantum gradient algorithm scales as(√{square root over (k)}/ϵ). The quantum circuit is repeatedly executed on qubits of a quantum computing system to determine a k-dimensional gradient of a function ƒ(x) within an error ϵ at point x.


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