Quantum computing is a quickly rising expertise that makes use of the legal guidelines of quantum physics to unravel complicated computational issues which can be extraordinarily troublesome for classical computing. Researchers worldwide have developed many quantum algorithms to benefit from quantum computing, demonstrating important enhancements over classical algorithms.
Quantum circuits, that are fashions of quantum computation, are essential for creating these algorithms. They’re used to design and implement quantum algorithms earlier than precise deployment on quantum {hardware}.
Quantum circuits comprise a sequence of quantum gates, measurements, and initializations of qubits, amongst different actions. Quantum gates carry out quantum computations by working on qubits, that are the quantum counterparts of classical bits (0s and 1s), and by manipulating the quantum states of the system. Quantum states are the output of quantum circuits, which will be measured to acquire classical outcomes with chances, from which additional actions will be executed.
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Since quantum computing is commonly counter-intuitive and dramatically completely different from classical computing, the likelihood of errors is way larger. Therefore, it’s essential to confirm that quantum circuits have the specified properties and performance as supposed. This may be executed by mannequin checking, a proper verification method used to confirm whether or not techniques fulfill desired properties.
Though some mannequin checkers are devoted to quantum packages, there’s a hole between model-checking quantum packages and quantum circuits attributable to completely different representations and no iterations in quantum circuits.
Addressing this hole, Assistant Professor Canh Minh Do and Professor Kazuhiro Ogata from Japan Superior Institute of Science and Expertise (JAIST) proposed a symbolic mannequin checking method.
Dr. Do explains, “Contemplating the success of model-checking strategies for verification of classical circuits, model-checking of quantum circuits is a promising method. We developed a symbolic method for mannequin checking of quantum circuits utilizing legal guidelines of quantum mechanics and primary matrix operations utilizing the Maude programming language.”
Their method is detailed in a research revealed within the journal PeerJ Pc Science.
Maude is a high-level specification/programming language primarily based on rewriting logic, which helps the formal specification and verification of complicated techniques. It’s geared up with a Linear Temporal Logic (LTL) mannequin checker, which checks whether or not techniques fulfill the required properties.
Moreover, Maude permits the creation of exact mathematical fashions of techniques. The researchers formally specified quantum circuits in Maude, as a collection of quantum gates and measurement functions, represented as primary matrix operations utilizing legal guidelines of quantum mechanics with the Dirac notation. They specified the preliminary state and the specified properties of the system in LTL.
Through the use of a set of quantum physics legal guidelines and primary matrix operations formalized in our specs, quantum computation will be reasoned in Maude. They then used the built-in Maude LTL mannequin checker to routinely confirm whether or not quantum circuits fulfill the specified properties.
Extra info:
Canh Minh Do et al, Symbolic mannequin checking quantum circuits in Maude, PeerJ Pc Science (2024). DOI: 10.7717/peerj-cs.2098
Quotation:
Towards error-free quantum computing: A symbolic mannequin checking method to confirm quantum circuits (2024, June 21)
retrieved 21 June 2024
from https://techxplore.com/information/2024-06-error-free-quantum-approach-circuits.html
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