Quantum circuit risk analysis

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.

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.

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.

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.