International Business Machines Corporation

University System of Maryland

Tomas Raphael Jochym-O'Connor

Andrew W Cross

Theodore James Yoder

Guanyu Zhu

Riddhi Swaroop Gupta

Benjamin James Brown

Arpit Dua

Maissam Barkeshli

Various systems and methods are presented regarding applying a non-Clifford logical CCZ gate in a 2D topological code, e.g., a 2D Abelian code. A Kirigami cut and fold process is applied to an initial 3D quantum error-correcting code composed of three copies of 3D surface codes to reduce (cut) a qubit lattice to a hollow cube such that the cube is formed of surfaces comprising qubits. The CCZ is applied to the hollow cube, with the cube subsequently flattened (folded) from the 3D arrangement to a 2D code arrangement. A lattice surgery process can be performed to map/transfer the 2D code arrangement to an ancilla Kirigami code(s), whereupon the 2D code arrangement can be returned to a 2D surface code for further application of a logical Clifford gate, if so desired.

Universal fault-tolerant quantum computation with a 2D abelian topological stabilizer code using magic patches

According to an embodiment of the present invention, a method, system, and computer program product for preparing a CZ state for use in magic state distillation. The embodiment may include initializing a code state across data qubits. The embodiment may include measuring a CZ operator of the codes state on at least one ancilla qubit proximal to the data qubits. The embodiment may include performing additional quantum operations with the CZ state based on the measurement of the at least one ancilla qubit.

Preparation of a CZ state for quantum computation

Growing community of inventors

Los Angeles, CA, United States of America

Tomas Raphael Jochym-O'Connor