Method and system for the quantum mechanical representation and processing of fuzzy information
AssigneeMagiQ Technologies, Inc.
InventorGregg S. Jaeger
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Abstract
The present invention provides a method and system for representing fuzzy information, and performing fuzzy logic and control operations on that information, using a quantum system. According to one embodiment fuzzy logic and control operations are performed on a quantum computer. The present invention extends quantum information processing beyond purely Boolean-logical information processing, by providing a quantum mechanical method for representing fuzzy information and realizing fuzzy logic and control.
Claims14
A method for representing at least one fuzzy set in a quantum system, comprising the steps of:
- (a) placing at least one quantum system into at least one quantum state, wherein the quantum state has associated projection probabilities relative to all other quantum states in a same Hilbert space or subspace;
- (b) forming a distribution from the projection probabilities of the at least one quantum state relative to a set composed of at least one quantum state in the same Hilbert space or subspace;
- and,
- (c) associating the distribution with the at least one fuzzy proposition through identification as the fuzzy membership function for that proposition.
A method for carrying out fuzzy logic operations in a quantum computing device, comprising the steps of:
- (a) placing at least one quantum system into at least one first quantum state, wherein the quantum state has associated projection probabilities relative to all other quantum states in a same Hilbert space or subspace;
- and
- (b) forming a distribution from the projection probabilities of the at least one quantum state relative to a set composed of at least one quantum state in the same Hilbert space or subspace;
- (c) selecting at least one fuzzy logic operation;
- and,
- (d) forming a new distribution by replacing the at least one first quantum state by a second quantum state in accordance with the fuzzy logic operation.
A method for performing fuzzy control, comprising the steps of:
- (a) representing at least one control rule in at least one quantum system, wherein the control rule includes at least one distribution associated with quantum state projection probability values;
- (b) performing joint quantum measurements of the at least one quantum system in at least one quantum state as a function of a control input;
- and,
- (c) determining a control output.
A system for performing fuzzy control comprising:
- (a) an input sensor, wherein the input sensor detects at least one input parameter;
- (b) a quantum state source for generating a quantum state;
- (c) a quantum state selector, wherein the quantum state selector is coupled to the input sensor and selects a quantum state as a function of the input parameter;
- (d) a quantum state detector for generating an ensemble of measurement values, wherein the quantum state detector is coupled to the quantum state selector;
- (e) a defuzzifier, wherein the defuzzifier generates a control output as a function of the ensemble of measurement values using a pre-defined function;
- and,
- (f) a control device, wherein the control device performs a control operation as a function of the control output.
Dependencies are inferred from the claim text.