Many problems in mathematics, statistical mechanics or computer science are known to be NP (non-deterministic polynomial-time)-hard or even NP-complete, which makes it difficult to solve them on conventional computer systems. Even with advances in algorithms and the processing power of modern superc...
Quantum machine learning Ivan B. Djordjevic, in Quantum Communication, Quantum Networks, and Quantum Sensing, 2023 12.2 The Ising model, adiabatic quantum computing, and quantum annealing Many problems in ML can be mapped to the Ising problem formalism; first, let us describe the Ising model [19...
Here, we report a 16-bit coherent Ising machine based on a network of time-division-multiplexed femtosecond degenerate optical parametric oscillators. The system experimentally gives more than 99.6% of success rates for one-dimensional Ising ring and nondeterministic polynomial-time (NP) hard ...
Here, the authors demonstrate VO2oscillators to solve NP-complete problems with projectedpower consumption of 13W/oscillator.doi:10.1038/s41467-024-47642-5Olivier Mahergrid.410387.9IBM Research Europe - ZurichSäumerstrasse 4 8803 Rüschlikon Zürich SwitzerlandManuel Jiménez...
reducing the hardware requirements, prompting factoring 1245407 on the D-Wave 2000Q real machine. D-Wave advantage already has more than 5000 qubits and will be expanded to 7000 qubits during 2023–2024, with remarkable improvements in decoherence and topology. This machine is expected to promote ...
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Furthermore, it has been shown that the bottleneck bandwidth of a connection between a peer and another machine on the Internet is often determined by the upstream bandwidth of the peer’s direct link to the Internet [10]. Thus, available bandwidth can be treated as a property of single ...
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discrete and continuous variables, some of which belong to NP-hard or NP-complete class in complexity theory, are ubiquitous in numerous important areas, including operations and scheduling, drug discovery, wireless communications, finance, integrated circuit design, compressed sensing, and machine ...
In 2000, Istrail proved that solving the 3D Ising model on the lattice is an NP-complete problem [8]. We also note that the critical properties of the 3D Ising model were widely explored by employing conformal field theories [9,10,11], self-consistent Ornstein–Zernike approximation [12],...