Application US20200005186

Compressed Unsupervised Quantum State Preparation with Quantum Autoencoders
[+] Show Details

US20200005186

1. A method comprising: (2) (2)

generating, by a quantum autoencoder, based on a set of quantum states encoded in a set of qubits, a decoder circuit that acts on a subset of the set of qubits, a size of the subset being less than a size of the set; and

generating a reduced-cost circuit, the reduced-cost circuit comprising: (1) a new parameterized quantum circuit acting only on the subset of the set of qubits, and (2) the decoder circuit.

2. The method of claim 1, further comprising: (1) (1)

receiving the set of quantum states generated by at least one quantum circuit, having a depth D1 and a first cost function having a first cost value C1.

3. The method of claim 2, wherein generating the reduced-cost circuit comprises generating the reduced-cost circuit to act on the set of qubits, the reduced-cost circuit having a second depth D2 and being associated with a corresponding second cost function having a second cost value C2, wherein at least one of the following is true: (1) C2 is less than C1; and (2) D2 is less than D1. (7) (0)

4. The method of claim 3, wherein C2 is less than C1 and D2 is less than D1. (0)

5. The method of claim 3, wherein C2 less than C1. (0)

6. The method of claim 3, wherein D2 is less than D1. (0)

7. The method of claim 3, wherein the first cost function calculates a first energy cost and wherein the second cost function calculates a second energy cost. (0)

8. The method of claim 3, wherein the first cost function represents a first function of a first number of gates within a circuit and wherein the second cost function represents a second function of a second number of gates within the circuit. (0)

9. The method of claim 3, wherein the first cost function represents a first fidelity F1 of a first output state of the decoder circuit compared to a reference state. (0)

10. The method of claim 3, wherein the second cost function represents a second fidelity F2 of a second output state of the decoder circuit compared to the reference state, wherein F1<F2. (0)

11. The method of claim 1, wherein generating the reduced-cost circuit comprises training an encoder circuit and the decoder circuit with the new parameterized quantum circuit to optimize average fidelity of a plurality of training states. (2) (0)

14. A system comprising: (2) (2)

a quantum autoencoder (i) generating, based on a set of quantum states encoded in a set of qubits, a decoder circuit that acts on a subset of the set of qubits, a size of the subset being less than a size of the set; and

a reduced-cost circuit generator generating a reduced-cost circuit, the reduced-cost circuit comprising: (1) a new parameterized quantum circuit acting only on the subset of the set of qubits, and (2) the decoder circuit.

15. The system of claim 14, further comprising: (1) (1)

a quantum state receiving module for receiving the set of quantum states generated by at least one quantum circuit having a depth D1 and a first cost function having a first cost value C1.

16. The system of claim 15, wherein generating the reduced-cost circuit comprises generating the reduced-cost circuit to act on the set of qubits, the reduced-cost circuit having a second depth D2 and being associated with a corresponding second cost function having a second cost value C2, wherein at least one of the following is true: (1) C2 is less than C1; and (2) D2 is less than D1. (7) (0)

17. The system of claim 16, wherein C2 is less than C1 and D2 is less than D1. (0)

18. The system of claim 16, wherein C2 less than C1. (0)

19. The system of claim 16, wherein D2 is less than D1. (0)

20. The system of claim 16, wherein the first cost function calculates a first energy cost and wherein the second cost function calculates a second energy cost. (0)

21. The system of claim 16, wherein the first cost function represents a first function of a first number of gates within a circuit and wherein the second cost function represents a second function of a second number of gates within the circuit. (0)

22. The system of claim 16, wherein the first cost function represents a first fidelity F1 of a first output state of the decoder circuit compared to a reference state. (0)

23. The system of claim 16, wherein the second cost function represents a second fidelity F2 of a second output state of the decoder circuit compared to the reference state, wherein F1<F2. (0)

24. The system of claim 14, wherein generating the reduced-cost circuit comprises training an encoder circuit and the decoder circuit with the new parameterized quantum circuit to optimize average fidelity of a plurality of training states. (2) (0)

View Abstract and Specification Size

PDF with Images and Document Face >

Full Text Publication >

Application US20200005186

Compressed Unsupervised Quantum State Preparation with Quantum Autoencoders

Patent Matrix® Search