What are the current state of shors algorithm?
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The current state of Shor's algorithm involves significant advancements aimed at overcoming the challenges posed by the high resource requirements of traditional implementations. Researchers have proposed innovative approaches such as a quantum-classical hybrid distributed order-finding algorithm and a proof-of-principle demonstration using photons from a semiconductor quantum dot single-photon source. These developments address the need to reduce the number of qubits, circuit depth, and resource demands associated with Shor's algorithm, particularly in the context of NISQ era limitations. Shor's algorithm remains a pivotal quantum algorithm with the potential for exponential speed-up over classical counterparts, driving ongoing research into enhancing its efficiency and practical implementation.
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| The current state of Shor's algorithm involves a proposed distributed quantum-classical hybrid approach to reduce resource requirements, qubits, gate complexity, and circuit depth for factoring large integers. | |
1 Citations | The paper introduces a distributed Shor's algorithm to reduce qubit and circuit depth requirements, addressing limitations of the current state of Shor's algorithm. |
19 Citations | The current state of Shor's algorithm involves a proof-of-principle demonstration using a quantum dot single-photon source, achieving factorization of 15 with reduced resource requirements and genuine multiparticle entanglement. |
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| Not addressed in the paper. |
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