Geometrically enhanced Clifford quantum computer
AssigneeMicrosoft Technology Licensing, LLC
InventorsMatthew Benjamin Hastings, Zhenghan Wang, Jeongwan Haah, David Alexander Aasen
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Abstract
Aspects of the disclosure for reducing a qubit count employed by a quantum circuit include performing a geometric transformation to boundaries of a three-dimensional (3D) toric code, wherein a Hermite normal form is utilized to parameterize the geometric transformation. Aspects include transforming the 3D toric code to a two-dimensional (2D) toric code for the quantum circuit and causing the quantum circuit to execute the 2D toric code.
Claims20
A method of reducing a qubit count employed by a quantum circuit of a geometrically enhanced Clifford quantum computer, the method comprising:
- performing a geometric transformation to boundaries of a four-dimensional (4D) toric code, wherein a Hermite normal form is utilized to define and parameterize the geometric transformation of the 4D toric code to result in logical qubits executable on the quantum circuit, wherein the 4D toric code comprises plaquettes;
- and
- causing the quantum circuit to execute the 4D toric code for the logical qubits.
A system having a memory, computer readable instructions for reducing a qubit count employed by a quantum circuit of a geometrically enhanced Cliffor quantum computer, and one or more processors for executing the computer readable instructions, the computer readable instructions controlling the one or more processors to perform operations comprising:
- performing a geometric transformation to boundaries of a four-dimensional (4D) toric code, wherein a Hermite normal form is utilized to define and parameterize the geometric transformation of the 4D toric code to result in logical qubits executable on the quantum circuit, wherein the 4D toric code comprises plaquettes;
- and
- causing the quantum circuit to execute the 4D toric code for the logical qubits.
Dependencies are inferred from the claim text.