Entanglement Generation in Superconducting Qubits Using Holonomic Operations

Theory indicates that a quantum computer manipulating quantum information by means of geometric phases in Hilbert space ($h\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}l\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}m\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}c$ $q\phantom{\rule{0}{0ex}}u\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}u\phantom{\rule{0}{0ex}}m$ $c\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}m\phantom{\rule{0}{0ex}}p\phantom{\rule{0}{0ex}}u\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}g$) could be resilient to certain forms of noise. Two-qubit nonadiabatic holonomies are important for computing architectures based on fixed-frequency superconducting qubits, as they provide the means to directly realize an exchange-type operation. Here researchers implement a nonadiabatic holonomic operation between two such qubits connected by a microwave resonator, to create entangled states. As proof of principle, this operation is used to calculate the ground state of molecular hydrogen.