Abstract
A decentralized online quantum cash system, called qBitcoin, is given. We design the system which has great benefits of quantization in the following sense. Firstly, quantum teleportation technology is used for coin transaction, which prevents from the owner of the coin keeping the original coin data even after sending the coin to another. This was a main problem in a classical circuit and a blockchain was introduced to solve this issue. In qBitcoin, the double-spending problem never happens and its security is guaranteed theoretically by virtue of quantum information theory. Making a block is time consuming and the system of qBitcoin is based on a quantum chain, instead of blocks. Therefore, a payment can be completed much faster than Bitcoin. Moreover we employ quantum digital signature so that it naturally inherits properties of peer-to-peer (P2P) cash system as originally proposed in Bitcoin.
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Notes
- 1.
Practically, we may also convert a classical private key k into a quantum private key \(|k\rangle \) and we consider a quantum one-way function \(|k\rangle \mapsto |f_k\rangle \). In this way the quantum private key \(|k\rangle \) is secure since nobody else but the owner can copy it by virtue of the no-cloning theorem and since it is impossible to invert \(|k\rangle \) from \(|f_k\rangle \).
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Acknowledgment
I was benefited by discussions with Keisuke Fujii, Hayato Hirai and Hiroto Hosoda. A part of this work was completed while I stayed at Sydney for ICML 2017. I thank the organizers and I am most grateful to the Tjandras, my host family, for their genuine hospitality.
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Ikeda, K. (2019). qBitcoin: A Peer-to-Peer Quantum Cash System. In: Arai, K., Kapoor, S., Bhatia, R. (eds) Intelligent Computing. SAI 2018. Advances in Intelligent Systems and Computing, vol 858. Springer, Cham. https://doi.org/10.1007/978-3-030-01174-1_58
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