• Patent Title: MAJORANA LOOP STABILIZER CODES FOR ERROR CORRECTION OF FERMIONIC QUANTUM SIMULATIONS
  • Application No.: US17296160
    Application Date: 2019-12-17
  • Publication No.: US20220019928A1
    Publication Date: 2022-01-20
  • Inventor: Zhang JiangRyan BabbushJarrod Ryan McClean
  • Applicant: Google LLC
  • Applicant Address: US CA Mountain View
  • Assignee: Google LLC
  • Current Assignee: Google LLC
  • Current Assignee Address: US CA Mountain View
  • International Application: PCT/US2019/066732 WO 20191217
  • Main IPC: G06N10/00
  • IPC: G06N10/00 G06F15/16
MAJORANA LOOP STABILIZER CODES FOR ERROR CORRECTION OF FERMIONIC QUANTUM SIMULATIONS
Abstract:
Methods, systems and apparatus for error correction of fermionic quantum simulation. In one aspect, a method includes representing a fermionic system as a graph of vertices and edges, where each vertex represents a fermionic system fermionic mode and each edge represents an interaction between two respective fermionic modes; allocating a qubit to each edge in the graph to form a qubit system; determining qubit operators that satisfy a set of fermionic commutation and dependence relations, where the qubit operators are non-uniform with respect to the graph vertices; determining stabilizer operators corresponding to products of quadratic Majorana operators on respective loops in the graph, where a common eigenspace of the defined stabilizer operators defines a code subspace that encodes states of the fermionic system to be simulated; and simulating the fermionic system by evolving the qubit system under a qubit Hamiltonian that includes the determined qubit operators and stabilizer operators.
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