IP Library › Granted Patent US 12,705,516
Granted Patent B2
US 12,705,516 · App. 17/959,901 · Granted Aug 11, 2026

Systems and methods for optimal state transfer and entanglement generation in power-law interacting systems

Inventors: Minh C. Tran (College Park, MD); Abhinav Deshpande (College Park, MD); Andrew Y. Guo (College Park, MD); Andrew Lucas (Boulder, CO); Alexey Gorshkov (Potomac, MD); Przemyslaw Bienias (College Park, MD); Jeremy T. Young (Gaithersburg, MD); Ron Belyansky (College Park, MD)
Assignees: University of Maryland; The Regents of the University of Colorado, a body corporate; Government of the United States of America as Represented by the Secretary of Commerce
G06N10/20G06N10/00G06N10/40
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Quick Facts
Patent No.
US 12,705,516
App. No.
17/959,901
Granted
Aug 11, 2026
Kind
B2
Abstract

A system for quantum state transfer and entanglement generation includes a quantum system including a plurality of qubits, a processor, and a memory. The memory includes instructions stored thereon, which, when executed by the processor, cause the quantum system to: access a signal of the quantum system; encode unknown coefficients in one qubit of the plurality of qubits; initialize each of the remaining qubits of the plurality of qubits in state |0 ; group the plurality of qubits into a plurality of subsystems; in each of the plurality of subsystems: encode quantum information into Greenberger-Horne-Zeilinger-like (GHZ-like) states using nearest-neighbor interactions; and apply a generalized controlled-phase gate between the plurality of subsystems to merge the GHZ-like states into an entangled state between of the plurality of subsystems.

Claims (45)

1 . A system of quantum state transfer and entanglement generation, the system comprising:

a quantum system including a plurality of qubits;

a processor; and

a memory, including instructions stored thereon, which, when executed by the processor, cause the quantum system to:

access a signal of the quantum system;

encode unknown coefficients in one qubit of the plurality of qubits;

initialize each of the remaining qubits of the plurality of qubits in state | 0 );

group the plurality of qubits into a plurality of subsystems;

in each of the plurality of subsystems which includes two or more qubits: encode quantum information into Greenberger-Horne-Zeilinger-like (GHZ-like) states using nearest-neighbor interactions; and

apply a generalized controlled-phase gate between the plurality of subsystems to merge the GHZ-like states into an entangled state between the plurality of subsystems, wherein the merging is performed by applying a time-dependent power-law interacting Hamiltonian that generates the generalized controlled-phase gate between the plurality of subsystems.

2 . The system of claim 1 , wherein the instructions, when executed by the processor, further cause the quantum system to rotate the entangled state into a desired GHZ-like state by concentrating an entanglement in each subsystem of the plurality of subsystems onto one qubit c j of each of the plurality of subsystems, wherein j is an index number.

3 . The system of claim 2 , wherein the instructions, when executed by the processor, further cause the quantum system to apply a single-qubit rotation to c j .

4 . The system of claim 3 , wherein the instructions, when executed by the processor, further cause the quantum system to redistribute the entanglement to the plurality of subsystems as a resulting GHZ-like state.

5 . The system of claim 4 , wherein the instructions, when executed by the processor, further cause the quantum system to repeatedly feed the resulting GHZ-like state back into applying a generalized controlled-phase gate between the plurality of subsystems to merge the GHZ-like states into an entangled state between the plurality of subsystems to yield larger GHZ-like states.

6 . The system of claim 3 , wherein the system further includes a Hadamard gate, and wherein the rotation of c j is applied using the Hadamard gate.

7 . The system of claim 1 , wherein the subsystems include hypercubes,

wherein interactions between the plurality of subsystems are selected such that a total phase accumulated by c j reaches, wherein j is an index number.

8 . The system of claim 1 , wherein the unknown coefficients include a, b.

9 . The system of claim 8 , wherein the unknown coefficients of the one qubit of the plurality of qubits is encoded as a|0 +b|1 .

10 . The system of claim 1 , wherein the quantum system includes a power-law interacting Hamiltonian.

11 . A method of quantum state transfer and entanglement generation, the method comprising:

accessing a signal of a quantum system, the quantum system includes a plurality of qubits;

encoding unknown coefficients in one qubit of the plurality of qubits;

initializing each of the remaining qubits of the plurality of qubits in state |0 ;

grouping the plurality of qubits into a plurality of subsystems;

in each of the plurality of subsystems which includes two or more qubits: encoding quantum information into Greenberger-Horne-Zeilinger-like (GHZ-like) states using nearest-neighbor interactions; and

applying a generalized controlled-phase gate between the plurality of subsystems to merge the GHZ-like states into an entangled state between the plurality of subsystems, wherein the merging is performed by applying a time-dependent power-law interacting Hamiltonian that generates the generalized controlled-phase gate between the plurality of subsystems.

12 . The method of claim 11 , further comprising rotating the entangled state into a desired GHZ-like state by concentrating an entanglement in each subsystem of the plurality of subsystems onto one qubit c j of each of the plurality of subsystems, wherein j is an index number.

13 . The method of claim 12 , further comprising applying a single-qubit rotation to c j .

14 . The method of claim 13 , further comprising redistributing the entanglement to the plurality of subsystems as a resulting GHZ-like state.

15 . The method of claim 14 , further comprising repeatedly feeding the resulting GHZ-like state back into applying a generalized controlled-phase gate between the plurality of subsystems to merge the GHZ-like states into an entangled state between the plurality of subsystems to yield larger GHZ-like states.

16 . The method of claim 11 , wherein the subsystems include hypercubes.

17 . The method of claim 11 , wherein the unknown coefficients include a, b.

18 . The method of claim 17 , wherein the unknown coefficients of the one qubit of the plurality of qubits is encoded as a |0 +b|1 .

19 . The method of claim 11 , wherein the rotation of c j is applied using a Hadamard gate.

20 . A method of quantum state transfer and entanglement generation, the method comprising:

accessing a signal of a quantum system, the quantum system includes a plurality of qubits;

encoding a|0 +b|1 in one qubit of the plurality of qubits;

initializing each of the remaining qubits of the plurality of qubits in state |0 ;

grouping the plurality of qubits into a plurality of hypercubes;

in each of the hypercubes of the plurality of hypercubes which includes two or more qubits: encoding quantum information into Greenberger-Horne-Zeilinger-like (GHZ-like) states;

merging the GHZ-like states into an entangled state between the plurality of hypercubes, wherein the merging is performed by applying a time-dependent power-law interacting Hamiltonian that generates a generalized controlled-phase gate between the plurality of subsystems;

rotating the entangled state into a desired GHZ-like state;

applying a single-qubit rotation to one bit of one of the plurality of hypercubes; and

redistributing the entanglement to the plurality of hypercubes.