Method and apparatus for linear optical quantum computing
AssigneeSeoul National University R&Db Foundation
InventorsHyunseok Jeong, Seok-Hyung Lee, Yong Siah Teo, Srikrishna Omkar
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Abstract
A method for linear optical quantum computing includes configuring at least two first Greenberger-Horne-Zeilinger (GHZ) states consisting of three photons; configuring at least one second GHZ state consisting of four or more photons by firstly combining the at least two first GHZ states; generating at least one microcluster; forming a plurality of star clusters consisting of four side qubits around the central qubit; configuring Raussendorf-Harrington-Goyal (RHG) lattice by using the plurality of star clusters; and measuring at least one central qubit of the RHG lattice.
Claims22
A method for linear optical quantum computing comprising:
- configuring at least two first Greenberger-Horne-Zeilinger (GHZ) states consisting of three photons;
- configuring at least one second GHZ state consisting of four or more photons by firstly combining the at least two first GHZ states;
- generating at least one microcluster of type 1 comprising a specific entangled state consisting of three multiphoton qubits defined as (n, m) parity-state encoding for two side qubits and (l, k) parity-state encoding for one central qubit and at least two or more microcluster of type 2 containing a specific entangled state consisting of three multiphoton qubits defined by (n, m) parity state coding for three side qubits, by secondly combining the first GHZ state, the second GHZ state, or a combination thereof;
- forming a plurality of star clusters consisting of four side qubits around the central qubit by thirdly combining the at least one microcluster of type 1 and the at least two microclusters of type 2;
- configuring Raussendorf-Harrington-Goyal (RHG) lattice by using the plurality of star clusters;
- and
- measuring at least one central qubit of the RHG lattice.
A method for linear optical quantum computing comprising:
- determining a combination graph, wherein the combination graph comprises a plurality of vertices representing microclusters and a plurality of lines connecting the vertices, each line corresponding to a single-photon fusion or a Bell-State Measurement;
- determining a sequence of a plurality of single photon fusions and a plurality of single photon Bell-state measurements (BSMs) expressed by a shape of the combination graph and one or more lines between the vertices by performing a resource optimization algorithm for the combination graph consisting of a plurality of vertices representing an arbitrary microcluster and lines connecting the vertices;
- configuring at least two first Greenberger-Horne-Zeilinger (GHZ) states consisting of three photons based on the shape of the combination graph;
- generating at least one microcluster of type 1 including a specific entangled state consisting of three multiphoton qubits defined by (n, m) parity-state encoding for two side qubits and (l, k) parity-state encoding for one central qubit, and at least two or more microclusters of type 2 comprising a specific entangled state consisting of three multiphoton qubits defined by (n, m) parity state coding for three side qubits, based on the sequence of the single photon fusions and the single photon BSMs between the configured first GHZ states;
- forming a plurality of star clusters consisting of four side qubits around the central qubit by combining the at least one microcluster of type 1 and the at least two microclusters of type 2;
- configuring a Raussendorf-Harrington-Goyal (RHG) lattice by using the plurality of star clusters;
- and
- measuring at least one central qubit of the RHG lattice.
An apparatus for linear optical quantum computing comprising at least one processor, at least one single-photon BSM and at least one multi-photon Bell-state measurement (multi-photon BSM) operating under the control of the processor, wherein the at least one processor includes commands for:
- configuring at least two first Greenberger-Horne-Zeilinger (GHZ) states consisting of three photons;
- configuring at least one second GHZ state consisting of four or more photons by firstly combining the at least two first GHZ states;
- generating at least one microcluster of type 1 comprising a specific entangled state consisting of three multiphoton qubits defined as (n, m) parity-state encoding for two side qubits and (l, k) parity-state encoding for one central qubit and at least two or more microcluster of type 2 containing a specific entangled state consisting of three multiphoton qubits defined by (n, m) parity state coding for three side qubits, by secondly combining the first GHZ state, the second GHZ state, or a combination thereof;
- forming a plurality of star clusters consisting of four side qubits around the central qubit by thirdly combining the at least one microcluster of type 1 and the at least two microclusters of type 2;
- configuring Raussendorf-Harrington-Goyal (RHG) lattice by using the plurality of star clusters;
- and
- measuring at least one central qubit of the RHG lattice.
Dependencies are inferred from the claim text.