Simon's problem is one of the most important problems demonstrating the power of quantum algorithms, as it greatly inspired the proposal of Shor's algorithm. The generalized Simon's problem is a natural extension of Simon's problem and also a special hidden subgroup problem: Given a function ...
[29] proposed a distributed Shor’s algorithm, which can separately estimate partial bits of s/r for some s∈{0,1,…,r−1} by two quantum computers during solving order-finding. Later, they [30] extended their algorithm to multiple nodes. Zhou and Qiu et al. [31] designed a ...
including bit error rates, key rates, amounts of accumulated keys, from the KMAs and organizes a routing table and provisions secure paths to the KMAs. To make the interface with the application layer, a key supply agent (KSA) is
Shor, R.R. Weber, M. Yannakakis Perfect packing theorems and the average-case behavior of optimal and online bin packing SIAM J. Discrete Math., 13 (2000), pp. 384-402 View in ScopusGoogle Scholar [12] S.S. Seiden On the online bin packing problem J. ACM, 49 (2002), pp. 640...
bitcoin employs a digital signature based on ECC79. However, using an advanced version of Shor’s algorithm57, it is feasible to determine all ECC-related keys utilized in the bitcoin system. Notably, Google demonstrated that with approximately 20 million noisy qubits, RSA-2048 encryption could ...
“horizontal”) matrix (green arrows) from the code at time t-1. Note however, that the generalized CSA remains a fixed-time algorithm. The training set used in that paper consists of the two sequences, S1 and S2, shown in Fig. 8. The test sequence, S3, consisted of the first two...
Farhi, E., Goldstone, J. & Gutmann, S. A quantum approximate optimization algorithm. Preprint athttp://arxiv.org/abs/1411.4028(2014). Harrigan, M. P. et al. Quantum approximate optimization of non-planar graph problems on a planar superconducting processor.Nat. Phys.17, 332–336 (2021)...
Specifically, we explore the parallelization of modular exponentiation, the substantially dominant portion of Shor's algorithmi, on multi-chip ion-trap systems with photon-mediated communication between chips. Shor's algorithm, which factors the product of two primes in polynomial time on quantum ...
Algorithm-10 explains that how ADVonewayness can exploit FORWOTS-S to win the game. ADVonewayness calls Conclusions and future work In this paper, we have proposed WOTS-S, which is a new variant of the popular hash-based OTS scheme WOTS. The proposed signature scheme is customized ...
The upcoming quantum era is believed to be an end for the elliptic curve digital signature algorithm (ECDSA) and other number-theoretic digital signature schemes. Hence, the technologies which incorporate ECDSA would be at risk once quantum computers are available at large scale. Distributed ledger ...