View source for 20240013082. SYSTEMS AND METHODS FOR SIMULATION OF QUANTUM CIRCUITS USING DECOUPLED HAMILTONIANS simplified abstract (ALIBABA GROUP HOLDING LIMITED)

=SYSTEMS AND METHODS FOR SIMULATION OF QUANTUM CIRCUITS USING DECOUPLED HAMILTONIANS=


==Organization Name==

[[:Category:ALIBABA GROUP HOLDING LIMITED|ALIBABA GROUP HOLDING LIMITED]]


[[Category:ALIBABA GROUP HOLDING LIMITED]]

==Inventor(s)==

[[:Category:Dawei Ding of San Diego CA (US)|Dawei Ding of San Diego CA (US)]][[Category:Dawei Ding of San Diego CA (US)]]

[[:Category:Huihai Zhao of Beijing (CN)|Huihai Zhao of Beijing (CN)]][[Category:Huihai Zhao of Beijing (CN)]]

[[:Category:Yaoyun Shi of Bellevue WA (US)|Yaoyun Shi of Bellevue WA (US)]][[Category:Yaoyun Shi of Bellevue WA (US)]]

==SYSTEMS AND METHODS FOR SIMULATION OF QUANTUM CIRCUITS USING DECOUPLED HAMILTONIANS - A simplified explanation of the abstract==


This abstract first appeared for US patent application 20240013082 titled 'SYSTEMS AND METHODS FOR SIMULATION OF QUANTUM CIRCUITS USING DECOUPLED HAMILTONIANS

==Simplified Explanation==

Methods and techniques are provided for simulating a quantum circuit. The system can perform operations such as generating a transformed Hamiltonian corresponding to the quantum circuit. The transformed Hamiltonian includes transformed local and coupling Hamiltonians. The generation of the transformed Hamiltonian involves obtaining a charge coupling matrix and a flux coupling matrix of an original Hamiltonian corresponding to the quantum circuit. The charge coupling matrix and the flux coupling matrix are at least partially diagonalized. 

The operations further include determining a limited eigenbasis consisting of a number of eigenvectors of the transformed local Hamiltonian. The transformed coupling Hamiltonian and the transformed local Hamiltonian are projected onto the limited eigenbasis. An at least partially decoupled Hamiltonian is generated by combining the projection of the transformed coupling and local Hamiltonians. The operations also include simulating the behavior of the quantum circuit using the at least partially decoupled Hamiltonian.

* The patent/application provides methods and techniques for simulating a quantum circuit.
* It involves generating a transformed Hamiltonian that includes transformed local and coupling Hamiltonians.
* The transformed Hamiltonian is obtained by partially diagonalizing the charge coupling matrix and the flux coupling matrix of the original Hamiltonian.
* A limited eigenbasis is determined, consisting of a number of eigenvectors of the transformed local Hamiltonian.
* The transformed coupling and local Hamiltonians are projected onto the limited eigenbasis.
* An at least partially decoupled Hamiltonian is generated by combining the projection of the transformed coupling and local Hamiltonians.
* The at least partially decoupled Hamiltonian is used to simulate the behavior of the quantum circuit.

== Potential Applications ==
* Quantum computing simulations
* Quantum circuit design and optimization
* Quantum algorithm development and testing
* Quantum error correction analysis

== Problems Solved ==
* Efficient simulation of quantum circuits
* Handling complex interactions and couplings in quantum systems
* Diagonalization and projection techniques for Hamiltonians
* Simulating the behavior of quantum circuits accurately and effectively

== Benefits ==
* Improved understanding and analysis of quantum circuits
* Faster and more efficient simulation of quantum systems
* Optimization of quantum circuit designs
* Development and testing of quantum algorithms
* Enhanced error correction analysis in quantum computing.


==Original Abstract Submitted==

methods and techniques are provided for simulating a quantum circuit. a system can perform operations including generating a transformed hamiltonian corresponding to a quantum circuit. the transformed hamiltonian can include transformed local and coupling hamiltonians. generation of the transformed hamiltonian can include obtaining a charge coupling matrix and a flux coupling matrix of an original hamiltonian corresponding to the quantum circuit and at least partially diagonalizing the charge coupling matrix and the flux coupling matrix. the operations can further include determining a limited eigenbasis including a number of eigenvectors of the transformed local hamiltonian, projecting the transformed coupling hamiltonian and the transformed local hamiltonian onto the limited eigenbasis, and generating an at least partially decoupled hamiltonian by combining the projection of the transformed coupling and local hamiltonians. the operations can further include simulating a behavior of the quantum circuit using the at least partially decoupled hamiltonian.



[[Category:G06N10/20]]
[[Category:G06F17/16]]