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All public blockchains are secured by a proof of opportunity cost among block producers. For example, the security offered by proof-of-work (PoW) systems, like Bitcoin, is due to spent computation; it is work precisely because it cannot be…

Computer Science and Game Theory · Computer Science 2019-08-27 George Bissias , Brian N. Levine , David Thibodeau

Proof-of-Work (PoW) is a fundamental underlying technology behind most major blockchain cryptocurrencies. It has been previously pointed out that quantum devices provide a computational advantage in performing PoW in the context of Bitcoin.…

Quantum Physics · Physics 2021-05-06 Dan A. Bard , Joseph J. Kearney , Carlos A. Perez-Delgado

Blockchains rely on a consensus among participants to achieve decentralization and security. However, reaching consensus in an online, digital world where identities are not tied to physical users is a challenging problem. Proof-of-work…

Cryptography and Security · Computer Science 2020-11-16 Hjalmar Turesson , Henry M. Kim , Marek Laskowski , Alexandra Roatis

Since its advent in 2011, boson sampling has been a preferred candidate for demonstrating quantum advantage because of its simplicity and near-term requirements compared to other quantum algorithms. We propose to use a variant, called…

Mining is a central operation of all proof-of-work (PoW) based cryptocurrencies. The vast majority of miners today participate in "mining pools" instead of "solo mining" in order to lower risk and achieve a more steady income. However, this…

Computational Engineering, Finance, and Science · Computer Science 2022-12-15 Panagiotis Chatzigiannis , Foteini Baldimtsi , Igor Griva , Jiasun Li

Proof-of-work (PoW) cryptocurrencies rely on a balance of security and fairness in order to maintain a sustainable ecosystem of miners and users. Users demand fast and consistent transaction confirmation, and in exchange drive the adoption…

Cryptography and Security · Computer Science 2023-06-22 Patrik Keller , Ben Glickenhaus , George Bissias , Gregory Griffith

Decentralized systems built around blockchain technology promise clients an immutable ledger. They add a transaction to the ledger after it undergoes consensus among the replicas that run a Proof-of-Stake (PoS) or Byzantine Fault-Tolerant…

Cryptography and Security · Computer Science 2025-08-08 Junchao Chen , Suyash Gupta , Alberto Sonnino , Lefteris Kokoris-Kogias , Mohammad Sadoghi

Proof-of-work (PoW) is an algorithmic tool used to secure networks by imposing a computational cost on participating devices. Unfortunately, traditional PoW schemes require that correct devices perform computational work perpetually, even…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-20 Diksha Gupta , Jared Saia , Maxwell Young

Does the proof-of-work protocol serve its intended purpose of supporting decentralized cryptocurrency mining? To address this question, we develop a game-theoretical model where miners first invest in hardware to improve the efficiency of…

Trading and Market Microstructure · Quantitative Finance 2021-06-21 Agostino Capponi , Sveinn Olafsson , Humoud Alsabah

Proof-of-Work (PoW) blockchains have emerged as a robust and effective consensus mechanism in open environments, leading to widespread deployment with numerous cryptocurrency platforms and substantial investments. However, the commonly…

Cryptography and Security · Computer Science 2024-05-15 Andrea Merlina , Thiago Garrett , Roman Vitenberg

Proof of work cryptocurrencies began with the promise of a more egalitarian future with a decentralized monetary system with no powerful entities in charge. While this vision is far from realized, these cryptocurrencies are still touted to…

Cryptography and Security · Computer Science 2022-03-31 Sishan Long , Soumya Basu , Emin Gün Sirer

The distributed consensus mechanism is the backbone of the rapidly developing blockchain network. Blockchain platforms consume vast amounts of electricity based on the current consensus mechanism of Proof of Work. Here, we point out an…

Computers and Society · Computer Science 2022-01-19 Xiaoyang Shi , Hang Xiao , Weifeng Liu , Xi Chen , Klaus. S. Lackner , Vitalik Buterin , Thomas F. Stocker

With the increasing adoption of decentralized information systems based on a variety of permissionless blockchain networks, the choice of consensus mechanism is at the core of many controversial discussions. Ethereum's recent transition…

Cryptography and Security · Computer Science 2024-02-01 Iván Abellán Álvarez , Vincent Gramlich , Johannes Sedlmeir

The progress of deep learning (DL), especially the recent development of automatic design of networks, has brought unprecedented performance gains at heavy computational cost. On the other hand, blockchain systems routinely perform a huge…

Cryptography and Security · Computer Science 2020-07-31 Yixiao Lan , Yuan Liu , Boyang Li

Blockchain has become a popular decentralized paradigm for various applications in the zero-trust environment. The core of the blockchain is the consensus protocol, which establishes consensus among all the participants. PoW (Proof-of-Work)…

Cryptography and Security · Computer Science 2023-08-30 Peiran Wang

Although proof of work (PoW) consensus dominates the current blockchain-based systems mostly, it has always been criticized for the uneconomic brute-force calculation. As alternatives, energy-conservation and energy-recycling mechanisms…

Cryptography and Security · Computer Science 2022-11-03 Shengling Wang , Lina Shi , Hongwei Shi , Yifang Zhang , Qin Hu , Xiuzhen Cheng

Proof-of-Work (PoW) is a fundamental method in decentralized digital networks for establishing consensus on a shared ledger. By requiring network participants to solve a mathematical puzzle, PoW maintains network integrity. However, PoW has…

Cryptography and Security · Computer Science 2026-05-12 Chong Guan

This work proposes a novel proof-of-work blockchain incentive scheme such that, barring exogenous motivations, following the protocol is guaranteed to be the optimal strategy for miners. Our blockchain takes the form of a directed acyclic…

Cryptography and Security · Computer Science 2022-06-22 Jakub Sliwinski , Roger Wattenhofer

We revisit the longstanding open problem of implementing Nakamoto's proof-of-work (PoW) consensus based on a real-world computational task $T(x)$ (as opposed to artificial random hashing), in a truly permissionless setting where the miner…

Cryptography and Security · Computer Science 2025-11-14 Ilan Komargodski , Omri Weinstein

We lay the foundations for a blockchain scheme, whose consensus is reached via a proof of work algorithm based on the solution of consecutive discrete logarithm problems over the point group of elliptic curves. In the considered…

Cryptography and Security · Computer Science 2021-11-19 Alessio Meneghetti , Massimiliano Sala , Daniele Taufer