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Gottesman and Chuang Quantum Digital Signature (edit)
Revision as of 10:46, 3 June 2019
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==Outline== | ==Outline== | ||
Gottesman and Chuang signature scheme is based on | Gottesman and Chuang signature scheme is based on [[Glossary#Quantum One Way Function|quantum one way functions]], which take classical bit string as input and give quantum states as output. Quantum Digital Signature (QDS) protocols can be divided into two stages: the distribution stage, where quantum signals (public keys) are sent to all recipients, and the messaging stage, where classical messages are signed, sent and verified. Here, we take the case of three parties, one sender (referred to as seller) and two receivers (buyer and verifier) sharing a one bit message. Distribution phase can be divided into the following two steps: | ||
*'''Key Generation:''' For each message bit (say 0 and 1) seller selects some (say M) classical bit strings. These are chosen to be her private keys for that message bit. Using this private key as input, seller generates output of the quantum one-way function/map, which she calls her public key and as assumed above, distributes them to each recipient, for each message bit. In the end of this step, each recipient has 2M public keys, M for message bit 0 and M for message bit 1. Following are a few suggestions for the quantum one way functions, by the authors. | *'''Key Generation:''' For each message bit (say 0 and 1) seller selects some (say M) classical bit strings. These are chosen to be her private keys for that message bit. Using this private key as input, seller generates output of the quantum one-way function/map, which she calls her public key and as assumed above, distributes them to each recipient, for each message bit. In the end of this step, each recipient has 2M public keys, M for message bit 0 and M for message bit 1. Following are a few suggestions for the quantum one way functions, by the authors. | ||
'''Quantum One Way Functions:''' The author suggests [[quantum fingerprint states]] [[Gottesman and Chuang Quantum Digital Signature#References|(1)]], [[stabilizer states]] [[Gottesman and Chuang Quantum Digital Signature#References|(2)]] to represent classical strings in terms of quantum states. The number of qubits for the quantum state used, to represent each bit in the classical string, depends on which of the above methods is used. Another method where each classical bit is represented by one quantum bit, is also suggested. | '''Quantum One Way Functions:''' The author suggests [[quantum fingerprint states]] [[Gottesman and Chuang Quantum Digital Signature#References|(1)]], [[stabilizer states]] [[Gottesman and Chuang Quantum Digital Signature#References|(2)]] to represent classical strings in terms of quantum states. The number of qubits for the quantum state used, to represent each bit in the classical string, depends on which of the above methods is used. Another method where each classical bit is represented by one quantum bit, is also suggested. | ||