Memcomputing NP-complete problems in polynomial time using polynomial resources and collective states
نویسندگان
چکیده
منابع مشابه
Memcomputing NP-complete problems in polynomial time using polynomial resources and collective states
Memcomputing is a novel non-Turing paradigm of computation that uses interacting memory cells (memprocessors for short) to store and process information on the same physical platform. It was recently proven mathematically that memcomputing machines have the same computational power of nondeterministic Turing machines. Therefore, they can solve NP-complete problems in polynomial time and, using ...
متن کاملMemcomputing NP-complete problems in polynomial time using polynomial resources
Memcomputing is a novel non-Turing paradigm of computation that uses interacting memory cells (memprocessors for short) to store and process information on the same physical platform. It was recently proven mathematically that memcomputing machines have the same computational power of nondeterministic Turing machines. Therefore, they can solve NP-complete problems in polynomial time and, using ...
متن کاملA review of "Memcomputing NP-complete problems in polynomial time using polynomial resources" (arXiv: 1411.4798)
The reviewed paper describes an analog device that empirically solves small instances of the NPcomplete Subset Sum Problem (SSP). The authors claim that this device can solve the SSP in polynomial time using polynomial space, in principle, and observe no exponential scaling in resource requirements. We point out that (a) the properties ascribed by the authors to their device are insufficient to...
متن کاملPolynomial-time solution of prime factorization and NP-complete problems with digital memcomputing machines.
We introduce a class of digital machines, we name Digital Memcomputing Machines, (DMMs) able to solve a wide range of problems including Non-deterministic Polynomial (NP) ones with polynomial resources (in time, space, and energy). An abstract DMM with this power must satisfy a set of compatible mathematical constraints underlying its practical realization. We prove this by making a connection ...
متن کاملPolynomial solvability of $NP$-complete problems
A polynomial algorithm for solving the ”Hamiltonian circuit” problem is presented in the paper. Computational complexity of the algorithm is equal to O ( n log 2 n ) where n is the cardinality of the observed graph vertex set. Thus the polynomial solvability for NP -complete problems is proved.
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ژورنال
عنوان ژورنال: Science Advances
سال: 2015
ISSN: 2375-2548
DOI: 10.1126/sciadv.1500031