Smallest Bitcoin Miner Possible \ stacker news ~science

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1696 sats \ 3 comments \ @MaaliMKen 27 Dec 2023 science

Who can help me model, using mathematics and physics, the smallest bitcoin miner theoretically possible as per current knowledge of quantum mechanics? Hint: This article I wrote - https://hackernoon.com/the-smallest-bitcoin-miner-possible I pledge10k sats as a thank you.

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750 sats \ 2 replies \ @elysia 27 Dec 2023

Here is some back of the napkin math. I'll keep working on this to refine it.

Quantum Miner ModelQuantum Miner Model

Aspect	Description
Quantum Computer Model	Gate-based quantum computer using superconducting qubits
Qubit Efficiency	Each qubit potentially replaces a classical logic gate in SHA-256
Error Correction	Surface code error correction; assuming 10 physical qubits per logical qubit
Energy Approach	Hamiltonian for energy budget; Landauer's limit for energy per bit change
Quantum Computational Efficiency	Quantum computers can simulate classical computational systems, including Bitcoin mining
Physical Constraints	Qubits require near-absolute zero temperatures, necessitating a cryogenic setup

CalculationsCalculations

Item	Value
Logical Qubits for SHA-256	256 qubits (theoretical)
Error Correction Overhead	10 physical qubits per logical qubit
Total Physical Qubits	2560 qubits (256 logical x 10)
Space per Qubit	10 mm² per qubit (including control mechanisms)
Quantum Processing Unit Size	25600 mm² (0.0256 m²)
Total Bits for Mining Process	351,522 bits
Energy Consumption per Bit Change	(2.9 \times 10^{-21}) Joules (Landauer's limit)
Total Energy for Mining Process	Calculation Required

Calculation of Total Energy and Final Size EstimationCalculation of Total Energy and Final Size Estimation

Description	Calculation	Result
Total Energy Requirement	(351,522 \text{ bits} \times 2.9 \times 10^{-21} \text{ Joules/bit})	(1.019 \times 10^{-15}) Joules
Quantum Processing Unit	0.0256 m²	-
Cryogenics and Electronics	Assumed 10x the quantum processing unit	0.256 m²
Total Size	Quantum Unit + Cryogenics and Electronics	0.2816 m²

The total energy required for mining a Bitcoin block, based on Landauer's limit and the given computational load, is approximately (1.019 \times 10^{-15}) Joules.

0 sats \ 1 reply \ @MaaliMKen OP 25 Feb 2024

Thanks @elysia. Great answer.

0 sats \ 0 replies \ @MaaliMKen OP 25 Feb 2024

Sent you some sats 👌. If you're up for it, we could continue this journey.