System and method for error correction in quantum computing
As system is provided for performing a method of receiving a superposition state defined by a sum of a plurality of addends, wherein each addend of the plurality of addends is a product between a corresponding coefficient of a plurality of coefficients and a corresponding state of a plurality of states encoded with block unary encoding. The system may identify at least one error state, of the plurality of states, having a string value that is not a block unary code string of a set of block unary code strings. The system may compute an updated superposition state based on the plurality of states without the error state.
1. A method of error correction for a quantum computer, comprising:
receiving a measurement of superposition state defined by a sum of a plurality of addends, wherein each addend of the plurality of addends is a product between a corresponding coefficient of a plurality of coefficients and a corresponding state of a plurality of states encoded with block unary encoding;
identifying at least one error state, of the plurality of states, having a string value that is not a block unary code string of a set of block unary code strings;
computing an updated measurement of superposition state based on the plurality of states without the at least one error state; and
providing the updated measurement to a quantum information processing (QIP) system to perform at least a portion of a quantum operation.
2. The method of claim 1 , wherein each block unary code string of the set of block unary code strings includes only one 1 or one 0.
3. The method of claim 2 , wherein identifying the at least one error state comprises identifying more than one 1 or more than one 0 in the string value.
4. The method of claim 1 , wherein each block unary code string of the set of block unary code strings includes a plurality bits each representing a quantum bit of a plurality quantum bits of the quantum computer.
5. The method of claim 1 , wherein the quantum computer is a trapped ion quantum computer.
6. The method of claim 1 , further comprising, in response to identifying the at least one error state, transmitting a request to the quantum computer to rerun the measurement.
7. A computer system, comprising:
a memory including instructions; and
a processor configured to execute the instructions to:
receive a measurement, output by a quantum computer, of superposition state defined by a sum of a plurality of addends, wherein each addend of the plurality of addends is a product between a corresponding coefficient of a plurality of coefficients and a corresponding state of a plurality of states encoded with block unary encoding;
identify at least one error state, of the plurality of states, having a string value that is not a block unary code string of a set of block unary code strings;
compute an updated measurement of superposition state based on the plurality of states without the at least one error state;
provide the updated measurement to a quantum information processing (QIP) system to perform at least a portion of a quantum operation.
8. The computer system of claim 7 , wherein each block unary code string of the set of block unary code strings includes only one 1 or one 0.
9. The computer system of claim 8 , wherein identifying the at least one error state comprises identifying more than one 1 or more than one 0 in the string value.
10. The computer system of claim 7 , wherein each block unary code string of the set of block unary code strings includes a plurality bits each representing a quantum bit of a plurality quantum bits of the quantum computer.
11. The computer system of claim 7 , wherein the quantum computer is a trapped ion quantum computer and the computer system is a classical computer.
12. The computer system of claim 7 , wherein the processor is further configured to, in response to identifying the at least one error state, transmit a request to the quantum computer to rerun the measurement.
13. A non-transitory computer-readable medium storing code with instructions executable by a processor to:
receive a measurement, output by a quantum computer, of superposition state defined by a sum of a plurality of addends, wherein each addend of the plurality of addends is a product between a corresponding coefficient of a plurality of coefficients and a corresponding state of a plurality of states encoded with block unary encoding;
identify at least one error state, of the plurality of states, having a string value that is not a block unary code string of a set of block unary code strings;
compute an updated measurement of superposition state based on the plurality of states without the at least one error state; and
provide the updated measurement to a quantum information processing (QIP) system to perform at least a portion of a quantum operation.
14. The non-transitory computer-readable medium of claim 13 , wherein each block unary code string of the set of block unary code strings includes only one 1 or one 0.
15. The non-transitory computer-readable medium of claim 14 , wherein identifying the at least one error state comprises identifying more than one 1 or more than one 0 in the string value.
16. The non-transitory computer-readable medium of claim 13 , wherein each block unary code string of the set of block unary code strings includes a plurality bits each representing a quantum bit of a plurality quantum bits of the quantum computer.
17. The non-transitory computer-readable medium of claim 13 , wherein the quantum computer is a trapped ion quantum computer.
18. The non-transitory computer-readable medium of claim 13 , further comprising instructions executable by the processor to, in response to identifying the at least one error state, transmit a request to the quantum computer to rerun the measurement.