# US 12,001,769 B2 · Quantum computing device design

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- Number: US 12,001,769 B2
- Document ID: US12001769B2
- Status: Granted
- Kind: B2
- Application number: 17/342,815
- Filed: 2021-06-09
- Published: 2021-11-18
- Granted: 2024-06-04
- Earliest claimed: 2018-01-30
- Assignees: International Business Machines Corporation
- Applicants: International Business Machines Corporation
- Inventors: Hanhee Paik; Firat Solgun; Salvatore Bernardo Olivadese; Martin O. Sandberg; Jay M. Gambetta
- Web page: https://patentgrep.com/patent/US12001769B2

## CPC

- G06F 30/3323: using formal methods, e.g. equivalence checking or property checking
- G06F 30/367: Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
- G06N 10/20: Models of quantum computing, e.g. quantum circuits or universal quantum computers
- G06N 7/04: Physical realisation
- G06F: ELECTRIC DIGITAL DATA PROCESSING (computer systems based on specific computational models G06N)
- G06N: COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS

## Abstract

Techniques and a system for quantum computing device modeling and design are provided. In one example, a system includes a modeling component and a simulation component. The modeling component models a quantum device element of a quantum computing device as an electromagnetic circuit element to generate electromagnetic circuit data for the quantum computing device. The simulation component simulates the quantum computing device using the electromagnetic circuit data to generate response function data indicative of a response function for the quantum computing device. Additionally or alternatively, a Hamiltonian is constructed based on the response function.

## Claims

### Claim 1

A system, comprising:
a memory that stores computer executable components;
a processor that executes the computer executable components stored in the memory, wherein the computer executable components comprise:
a simulation component that generates response function data indicative of a response function for a quantum computing device based on a simulation of an electromagnetic circuit that is equivalent to one or more quantum device elements of the quantum computing device, wherein the one or more quantum device elements comprise a qubit element; and
a design component that modifies a layout of one or more elements of the quantum computing device based on the response function data.

### Claim 2 (depends on 1)

The system of claim 1, wherein the electromagnetic circuit is equivalent to a plurality of quantum device elements of the quantum computing device, and one or more connections between the plurality of quantum device elements.

### Claim 3 (depends on 1)

The system of claim 1, wherein the response function corresponds to at least one of impedance or admittance at one or more locations of the quantum computing device.

### Claim 4 (depends on 1)

The system of claim 1, wherein the simulation component generates Hamiltonian data based on the response function data.

### Claim 5 (depends on 4)

The system of claim 4, wherein the simulation component re-simulates the electromagnetic circuit in response to a determination that the Hamiltonian data satisfies a defined criterion.

### Claim 6 (depends on 4)

The system of claim 4, wherein the design component modifies the layout of the one or more elements of the quantum computing device further based on the Hamiltonian data.

### Claim 7 (depends on 1)

The system of claim 1, wherein the design component modifies the layout of the one or more elements to improve a characteristic of the quantum computing device.

### Claim 8

A computer-implemented method, comprising:
generating, by a system operatively coupled to a processor, response function data indicative of a response function for a quantum computing device based on simulating an electromagnetic circuit that is equivalent to one or more quantum device elements of the quantum computing device, wherein the one or more quantum device elements comprise a qubit element; and
altering, by the system, a layout of one or more elements of the quantum computing device based on the response function data.

### Claim 9 (depends on 8)

The computer-implemented method of claim 8, wherein the electromagnetic circuit is equivalent to a plurality of quantum device elements of the quantum computing device, and one or more connections between the plurality of quantum device elements.

### Claim 10 (depends on 8)

The computer-implemented method of claim 8, wherein the response function corresponds to at least one of impedance or admittance at one or more locations of the quantum computing device.

### Claim 11 (depends on 8)

The computer-implemented method of claim 8, further comprising:
generating, by the system, Hamiltonian data based on the response function data.

### Claim 12 (depends on 11)

The computer-implemented method of claim 11, further comprising:
re-simulating, by the system, the electromagnetic circuit in response to a determination that the Hamiltonian data satisfies a defined criterion.

### Claim 13 (depends on 11)

The computer-implemented method of claim 11, wherein the altering the layout comprises altering the layout of the one or more elements of the quantum computing device further based on the Hamiltonian data.

### Claim 14 (depends on 8)

The computer-implemented method of claim 8, wherein the altering the layout comprises altering the layout of the one or more elements to improve a characteristic of the quantum computing device.

### Claim 15

A computer program product for quantum computing device design, the computer program product comprising a computer readable storage medium having program instructions embodied therewith, the program instructions executable by a processor to cause the processor to:
generating, by the processor, response function data indicative of a response function for a quantum computing device based on simulating an electromagnetic circuit that is equivalent to one or more quantum device elements of the quantum computing device, wherein the one or more quantum device elements comprise a qubit element; and
changing, by the processor, a layout of one or more elements of the quantum computing device based on the response function data.

### Claim 16 (depends on 15)

The computer program product of claim 15, wherein the electromagnetic circuit is equivalent to a plurality of quantum device elements of the quantum computing device, and one or more connections between the plurality of quantum device elements.

### Claim 17 (depends on 15)

The computer program product of claim 15, wherein the response function corresponds to at least one of impedance or admittance at one or more locations of the quantum computing device.

### Claim 18 (depends on 15)

The computer program product of claim 15, wherein the program instructions are further executable by the processor to cause the processor to:
generating, by the processor, Hamiltonian data based on the response function data.

### Claim 19 (depends on 18)

The computer program product of claim 18, wherein the program instructions are further executable by the processor to cause the processor to:
re-simulating, by the processor, the electromagnetic circuit in response to a determination that the Hamiltonian data satisfies a defined criterion.

### Claim 20 (depends on 18)

The computer program product of claim 18, wherein the changing the layout comprises changing the layout of the one or more elements of the quantum computing device further based on the Hamiltonian data.
