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Discrete modulation continuous variable quantum key distribution state modulation and key mapping method
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A technology of quantum key distribution and mapping method, applied in the field of quantum key distribution, can solve problems such as low key rate, complexity, and difficulty in meeting practical applications, so as to improve key rate, reduce complexity, and meet practical application requirements. Effect
Active Publication Date: 2022-03-18
SHANXI UNIV
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But the security proof of discrete modulation is more complex than that of Gaussian modulation, because the assumption of optimality of Gaussian attack no longer applies
[0004] Recently, using convex optimization technology, the security of four-state discrete modulation has been proved, but the key rate is still relatively low compared with Gaussian modulation, which is difficult to meet the practical application
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Embodiment 1
[0042] figure 1 Eight-state modulation and key mapping method proposed for the present invention. Such as figure 1 As shown, the process of modulation and mapping includes:
[0043] Alice prepares coherent state|α x >=|αe ixπ / 4 >, where x∈{0, 1, 2, 3, 4, 5, 6, 7} corresponds to eight coherent states in the phase space, α is the modulation amplitude, and i represents an imaginary number;
[0044] Alice with the same probability p x = 1 / 8 Randomly select a state to send to Bob, and record the serial number x of the sent state i , as Alice's original key string;
[0045] Divide the phase space into eight regions: {R j ,j=0,...,7};
[0046] Bob performs heterodyne detection and obtains the measurement result ( represents the complex field), according to the following rules, the result y=|y|e iθ (θ is the phase angle) is mapped to the corresponding discretized value to obtain the original key string;
[0047]
[0048] The key is obtained through error correction an...
Embodiment 2
[0055] In the single-ring constellation, the key rate of eight-state modulation has tended to be saturated, and adding more states can only increase the key rate to a limited extent.
[0056] Furthermore, the distribution range of the extended state in the phase space further improves the key rate, Figure 4 The twelve-state double-ring constellation modulation and key mapping method are given. The modulation and mapping process includes:
[0057] Unlike single-ring modulation, in double-ring modulation, Alice uses two different amplitudes α 1 and alpha 2 Coherent state is prepared, and α 2 >α 1 ,in:
[0058] The four states of the inner ring are expressed as: {|α x >=|α 1 e ixπ / 2 >} x＝0，…，3 , each state is chosen with probability p 1 ;
[0059] The eight states of the outer ring are expressed as: {|α x >=|α 2 e i(x-4)π / 4 >} x＝4，…，11 , each state is chosen with probability p 2 ;
[0060] p 1 and p 2 Satisfied: p 1 +2p 2 = 1 / 4;
[0061] Alice randomly choos...
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technical field [0001] The invention relates to the field of quantum key distribution, in particular to a discrete modulation continuous variable quantum key distribution state modulation and key mapping method. Background technique [0002] As one of the fastest-growing branches of current quantum information science and technology, quantum key distribution allows distant communication parties to share a set of secure keys, and its security is guaranteed by the basic principles of quantum physics. Continuous variable quantum key distribution encodes information in the orthogonal components of the light field. It can achieve a high key rate in the urban area and is easily compatible with existing optical fiber networks. It has attracted extensive attention from domestic and foreign researchers and has achieved great results. Big progress. [0003] Most of the current continuous variable quantum key distribution systems are based on Gaussian modulation, that is, Alice at the...
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