Hard-instance learning for quantum adiabatic prime factorization
نویسندگان
چکیده
Prime factorization is a difficult problem with classical computing, whose exponential hardness the foundation of Rivest-Shamir-Adleman (RSA) cryptography. With programmable quantum devices, adiabatic computing has been proposed as plausible approach to solve prime factorization, having promising advantage over computing. Here, we find there are certain hard instances that consistently intractable for both simulated annealing and un-configured (AQC). Aiming at an automated architecture optimal configuration apply deep reinforcement learning (RL) method configure AQC algorithm. By setting success probability worst-case reward RL, show performance on dramatically improved by RL configuration. The also becomes more evenly distributed different instances, meaning configured stable compared case. Through technique transfer learning, prominent evidence framework scalable -- trained five qubits remains working efficiently nine minimal amount additional training cost.
منابع مشابه
Prime Factorization on a Quantum Computer
complete problems eeciently is a Holy Grail of theoretical computer science which very few people expect to be possible on a classical computer. Finding polynomial-time algorithms for solving these problems on a quantum computer would be a momentous discovery. There are some weak indications that quantum computers are not powerful enough to solve NP-complete problems Bennett et al. 1996a], but ...
متن کاملQuantum adiabatic machine learning
We develop an approach to machine learning and anomaly detection via quantum adiabatic evolution. In the training phase we identify an optimal set of weak classifiers, to form a single strong classifier. In the testing phase we adiabatically evolve one or more strong classifiers on a superposition of inputs in order to find certain anomalous elements in the classification space. Both the traini...
متن کاملQuantum adiabatic algorithm for factorization and its experimental implementation.
We propose an adiabatic quantum algorithm capable of factorizing numbers, using fewer qubits than Shor's algorithm. We implement the algorithm in a NMR quantum information processor and experimentally factorize the number 21. In the range that our classical computer could simulate, the quantum adiabatic algorithm works well, providing evidence that the running time of this algorithm scales poly...
متن کاملA Note on Shor's Quantum Algorithm for Prime Factorization
It’s well known that Shor[1] proposed a polynomial time algorithm for prime factorization by using quantum computers. For a given number n, he gave an algorithm for finding the order r of an element x (mod n) instead of giving an algorithm for factoring n directly. The indirect algorithm is feasible because factorization can be reduced to finding the order of an element by using randomization[2...
متن کاملScalable Architecture for Adiabatic Quantum Computing of Np-hard Problems
We present a comprehensive review of past research into adiabatic quantum computation and then propose a scalable architecture for an adiabatic quantum computer that can treat NP-hard problems without requiring local coherent operations. Instead, computation can be performed entirely by adiabatically varying a magnetic field applied to all the qubits simultaneously. Local (incoherent) operation...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2022
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physreva.105.062455