452 research outputs found
Factorization of large tetra and penta prime numbers on IBM quantum processor
The factorization of a large digit integer in polynomial time is a
challenging computational task to decipher. The exponential growth of
computation can be alleviated if the factorization problem is changed to an
optimization problem with the quantum computation process with the generalized
Grover's algorithm and a suitable analytic algebra. In this article, the
generalized Grover's protocol is used to amplify the amplitude of the required
states and, in turn, help in the execution of the quantum factorization of
tetra and penta primes as a proof of concept for distinct integers, including
875, 1269636549803, and 4375 using 3 and 4 qubits of IBMQ Perth (7-qubit
processor). The fidelity of quantum factorization with the IBMQ Perth qubits
was near unity.Comment: 12 pages, 6 figure
Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer
Experimental demonstrations of quantum annealing with native implementation
of Boolean logic Hamiltonians are reported. As a superconducting integrated
circuit, a problem Hamiltonian whose set of ground states is consistent with a
given truth table is implemented for quantum annealing with no redundant
qubits. As examples of the truth table, NAND and NOR are successfully
fabricated as an identical circuit. Similarly, a native implementation of a
multiplier comprising six superconducting flux qubits is also demonstrated.
These native implementations of Hamiltonians consistent with Boolean logic
provide an efficient and scalable way of applying annealing computation to
so-called circuit satisfiability problems that aim to find a set of inputs
consistent with a given output over any Boolean logic functions, especially
those like factorization through a multiplier Hamiltonian. A proof-of-concept
demonstration of a hybrid computing architecture for domain-specific quantum
computing is described.Comment: 12 pages, 11 figure
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