Abstract: A method includes obtaining a plurality of entangled qubits, with high fault tolerance, represented by a lattice structure. The lattice structure includes a plurality of contiguous lattice cells. A first subset of the plurality of entangled qubits defines a first plane, and a second subset of the plurality of entangled qubits defines a second plane that is parallel to and offset from the first plane. The plurality of entangled qubits includes a defect qubit that is entangled with at least one face qubit on the first plane and at least one edge qubit on the second plane.

Abstract: A method includes obtaining a plurality of entangled qubits, with high fault tolerance, represented by a lattice structure. The lattice structure includes a plurality of contiguous lattice cells. A first subset of the plurality of entangled qubits defines a first plane, and a second subset of the plurality of entangled qubits defines a second plane that is parallel to and offset from the first plane. The plurality of entangled qubits includes a defect qubit that is entangled with at least one face qubit on the first plane and at least one edge qubit on the second plane.

Abstract: A quantum computing system and methods for performing fusion based quantum computing on encoded qubits. A fusion controller sequentially performs a series of fusion measurements on respective photonic quantum modes of first and second encoded qubits to obtain a respective series of classical measurement results. For respective fusion measurements of the series of fusion measurements, a basis for performing the respective fusion measurement is selected based on classical measurement results of previous fusion measurements. An encoded fusion measurement result is determined based on the classical measurement results, and the encoded fusion measurement result is stored in a memory medium.

Abstract: Entanglement among qubits can be generated using “rasterized” and interleaving techniques. A circuit can include a resource state generator that generates one resource state per clock cycle, with each resource state having a number of entangled qubits. The circuit can also include circuits and delay lines to perform entangling measurement operations on qubits of resource states generated by the same resource state generator in different clock cycles. With appropriate selection of delay lines, a single resource state generator can generate all of the resource states needed to generate a large entanglement structure. Hybrid techniques can also be used, where the number of resource state circuits is greater than one but less than the number of resource states needed to generate the entanglement structure.

Abstract: A quantum computing system and methods for performing fusion based quantum computing on encoded qubits. A fusion controller sequentially performs a series of fusion measurements on respective physical qubits of first and second encoded qubits to obtain a respective series of classical measurement results. For respective fusion measurements of the series of fusion measurements, a basis for performing the respective fusion measurement is selected based on classical measurement results of previous fusion measurements. An encoded fusion measurement result is determined based on the classical measurement results, and the encoded fusion measurement result is stored in a memory medium.

Abstract: A quantum computing system and methods for performing fusion based quantum computing on encoded qubits. A fusion controller sequentially performs a series of fusion measurements on respective physical qubits of first and second encoded qubits to obtain a respective series of classical measurement results. For respective fusion measurements of the series of fusion measurements, a basis for performing the respective fusion measurement is selected based on classical measurement results of previous fusion measurements. An encoded fusion measurement result is determined based on the classical measurement results, and the encoded fusion measurement result is stored in a memory medium.

Abstract: A method includes obtaining a first qubit entangled with second, third, fourth, fifth, sixth, and seventh qubits and one or more of: an eighth qubit entangled with the second qubit and the seventh qubit; a ninth qubit entangled with the third qubit and the fourth qubit; a tenth qubit entangled with the fifth qubit and the sixth qubit; an eleventh qubit entangled with the eighth qubit and the ninth qubit; a twelfth qubit entangled with the eighth qubit and the ninth qubit; a thirteenth qubit entangled with the eighth qubit and the tenth qubit; a fourteenth qubit entangled with the eighth qubit and the tenth qubit; a fifteenth qubit entangled with the ninth qubit and the tenth qubit; and a sixteenth qubit entangled with the ninth qubit and the tenth qubit. Also disclosed are additional methods of obtaining a plurality of entangled qubits.