20240037304. QUANTUM CIRCUIT FOR SIMULATING BOUNDARY OPERATOR simplified abstract (INTERNATIONAL BUSINESS MACHINES CORPORATION)

QUANTUM CIRCUIT FOR SIMULATING BOUNDARY OPERATOR

Organization Name

INTERNATIONAL BUSINESS MACHINES CORPORATION

Inventor(s)

Ismail Yunus Akhalwaya of Emmarentia (ZA)

Yang-Hui He of Oxford (GB)

Lior Horesh of North Salem NY (US)

Vishnumohan Jejjala of Killarney (ZA)

William Kirby of Cambridge MA (US)

Kugendran Naidoo of Midrand (ZA)

Shashanka Ubaru of Ossining NY (US)

QUANTUM CIRCUIT FOR SIMULATING BOUNDARY OPERATOR - A simplified explanation of the abstract

This abstract first appeared for US patent application 20240037304 titled 'QUANTUM CIRCUIT FOR SIMULATING BOUNDARY OPERATOR

Simplified Explanation

The patent application describes an apparatus that includes a controller, quantum hardware, and an interface. The controller generates command signals, the quantum hardware consists of multiple qubits, and the interface connects the controller and quantum hardware. The interface controls the quantum hardware based on the command signals to implement a quantum circuit that simulates a boundary operator for mapping the boundaries of a given graph. The method involves creating a boundary operator on a quantum computer using Pauli spin operators.

• The apparatus includes a controller, quantum hardware, and an interface.
• The controller generates command signals.
• The quantum hardware consists of multiple qubits.
• The interface connects the controller and quantum hardware.
• The interface controls the quantum hardware based on the command signals.
• The quantum circuit implemented by the interface simulates a boundary operator.
• The boundary operator maps the boundaries of a given graph.
• The quantum circuit can simulate a boundary operator for simplices of all orders in a given simplicial complex.
• The method involves creating a boundary operator on a quantum computer.
• The quantum circuit is built using Pauli spin operators.

Potential applications of this technology:

• Quantum simulation of boundary operators can be used in graph theory and network analysis.
• It can be applied in the study of complex systems, such as biological networks or social networks.
• The technology can be used to analyze and optimize the performance of communication networks or transportation networks.

Problems solved by this technology:

• Traditional methods for simulating boundary operators on classical computers can be computationally expensive and time-consuming.
• Quantum simulation allows for more efficient and accurate mapping of boundaries in graphs and simplicial complexes.

Benefits of this technology:

• Quantum simulation enables faster and more accurate analysis of graph structures.
• It can provide insights into the properties and behavior of complex systems.
• The technology has the potential to revolutionize network analysis and optimization.

Original Abstract Submitted

an apparatus can include at least a controller, quantum hardware, and an interface. the controller can be configured to generate command signals. the quantum hardware can include at least a plurality of qubits. the interface can be connected to the controller and the quantum hardware, the interface being configured to control the quantum hardware based on the command signals to implement a quantum circuit configured to simulate a boundary operator that creates a mapping of boundaries of a given graph having nodes and edges. for example, the quantum circuit can be configured to simulate a boundary operator that creates a mapping of simplices of orders, e.g., of all orders, in a given simplicial complex. a method can include creating a boundary operator on a quantum computer, where a quantum circuit is built using pauli spin operators.