Search All Applications in Quantum Computing
Application US20190378208
Published 2019-12-12
Quantum Circuit Risk Analysis
The technology described herein is directed towards quantum circuits used to analyze risk, including expected value, variance, value at risk and conditional value at risk metrics. Aspects can comprise modeling uncertainty of one or more random variables to provide a first quantum sub-circuit by mapping the one or more variables to quantum states represented by a selected number of qubits using quantum gates, and encoding a risk metric into a second quantum sub-circuit, the second quantum sub-circuit comprising a first ancilla qubit and Y-rotations controlled by one or more other qubits. Further aspects can comprise performing amplitude estimation based on the first sub-circuit and the second sub-circuit to extract a probability value corresponding to the risk metric, wherein the probability value represents a probability of measuring a one state in the ancilla qubit.
Much More than Average Length Specification
View the Patent Matrix® Diagram to Explore the Claim Relationships
USPTO Full Text Publication >
- 1. A system comprising,
an uncertainty modeling component that models uncertainty of one or more random variables to provide a first quantum sub-circuit by mapping the one or more variables to quantum states represented by a selected number of qubits using quantum gates; a risk metric encoding component that encodes a risk metric into a second quantum sub-circuit, the second quantum sub-circuit comprising a first ancilla qubit and Y-rotations controlled by one or more other qubits; and an amplitude estimation component that performs amplitude estimation based on the first sub-circuit and the second sub-circuit to extract a probability value corresponding to the risk metric, wherein the probability value represents a probability of measuring a one state in the ancilla qubit.
- 9. A computer-implemented method comprising,
modeling, by a device operatively coupled to a processor, uncertainty of one or more random variables to provide a first quantum sub-circuit by mapping the one or more variables to quantum states represented by a selected number of qubits using quantum gates; encoding, by the device, a risk metric into a second quantum sub-circuit, the second quantum sub-circuit comprising a first ancilla qubit and Y-rotations controlled by one or more other qubits; and performing, by the device, amplitude estimation based on the first sub-circuit and the second sub-circuit to extract a probability value corresponding to the risk metric, wherein the probability value represents a probability of measuring a one state in the ancilla qubit.
- 16. A computer program product facilitating estimating a risk analysis result for a risk analysis metric, the computer program product comprising a computer readable storage medium having program instructions embodied therewith, the program instructions executable by a processor to cause the processor to:
model uncertainty of one or more random variables to provide a first quantum sub-circuit by mapping the one or more variables to quantum states represented by a selected number of qubits using quantum gates; encode a risk metric into a second quantum sub-circuit, the second quantum sub-circuit comprising a first ancilla qubit and Y-rotations controlled by one or more other qubits; and perform amplitude estimation based on the first sub-circuit and the second sub-circuit to extract a probability value corresponding to the risk metric, wherein the probability value represents a probability of measuring a one state in the ancilla qubit.
- 20. A computer-implemented method, comprising:
providing, by a device operatively coupled to a processor, a first quantum sub-circuit that models uncertainty of one or more random variables by mapping the one or more variables to quantum states represented by a selected number of qubits using quantum gates; constructing, by the device, a second quantum sub-circuit comprising quantum gates and a first ancilla qubit, the constructing comprising, determining a polynomial function with multi-controlled qubit rotations with rotation angles corresponding to the polynomial function, and mapping the polynomial function to Y-rotation components of the second quantum sub-circuit; and estimating, by the device, a risk metric quantity, comprising applying Y-rotations to the gates of the second quantum sub-circuit, determining an estimated probability value of measuring a one state in the first ancilla qubit, and determining the risk metric based on the estimated probability value.
- 23. A computer program product facilitating estimating a risk analysis quantity for a risk analysis metric, the computer program product comprising a computer readable storage medium having program instructions embodied therewith, the program instructions executable by a processor to cause the processor to:
provide a first quantum sub-circuit that models uncertainty of one or more random variables by mapping the one or more variables to quantum states represented by a selected number of qubits using quantum gates; construct a second quantum sub-circuit comprising quantum gates and a first ancilla qubit, comprising determining a polynomial function with multi-controlled qubit rotations with rotation angles corresponding to the polynomial function, and mapping the polynomial function to Y-rotation components of the second quantum sub-circuit; and estimate a risk metric quantity, comprising applying Y-rotations to the quantum gates of the second quantum sub-circuit, determining an estimated probability value of measuring a one state in the first ancilla qubit, and determining the risk metric based on the estimated probability value.
