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| 1 | High-rate and high-capacity measurement-device-independent quantum key distribution with Fibonacci matrix coding in free space显示文摘This paper proposes a high-rate and high-capacity measurement-device-independent quantum key distribution(MDI-QKD) protocol with Fibonacci-valued and Lucas-valued orbital angular momentum(OAM) entangled states in free space. In the existing MDI-OAM-QKD protocols, the main encoding algorithm handles encoded numbers in a bit-by-bit manner. To design a fast encoding algorithm, we introduce a Fibonacci matrix coding algorithm, by which, encoded numbers are separated into segments longer than one bit. By doing so, when compared to the existing MDI-OAM-QKD protocols, the new protocol can effectively increase the key rate and the coding capacity. This is because Fibonacci sequences are used in preparing OAM entangled states, reducing the misattribution errors(which slow down the execution cycle of the entire QKD) in QKD protocols. Moreover, our protocol keeps the data blocks as small as possible, so as to have more blocks in a given time interval. Most importantly, our proposed protocol can distill multiple Fibonacci key matrices from the same block of data, thus reducing the statistical fluctuations in the sample and increasing the final QKD rate. Last but not the least, the sender and the receiver can omit classical information exchange and bit flipping in the secure key distillation stage. | Hong LAI Mingxing LUO Josef PIEPRZYK Jun ZHANG Lei PAN Mehmet A.ORGUN | 2018 | Science China(Information Sciences)2018，61，6： | 1 |
| 2 | A Quantum Secret Sharing Scheme Using Orbital Angular Momentum onto Multiple Spin States Based on Fibonacci Compression Encoding显示文摘Since the use of a quantum channel is very expensive for transmitting large messages, it is vital to develop an effective quantum compression encoding scheme that is easy to implement. Given that, with the single-photon spin-orbit entanglement, we propose a quantum secret sharing scheme using orbital angular momentum onto multiple spin states based on Fibonacci compression encoding. In our proposed scheme, we can represent the frequency of any secret message which is typically collection of bits encodings of text or integers as a bitstring using the base Fibonacci sequence, which is encoded multiple spin states for secret shares transmitted to participants. We demonstrate that Fibonacci compression encoding carries excellent properties that enable us to achieve more robust quantum secret sharing schemes with fewer number of photons. | 赖红 罗明星 徐永健 Josef Pieprzyk 张军 潘磊 Mehmet A.Orgun | 2018 | Communications in Theoretical Physics2018，70，10： | 1 |
| 3 | Dynamic(2, 3) Threshold Quantum Secret Sharing of Secure Direct Communication显示文摘In this paper, we show that a(2, 3) discrete variable threshold quantum secret sharing scheme of secure direct communication can be achieved based on recurrence using the same devices as in BB84. The scheme is devised by first placing the shares of smaller secret pieces into the shares of the largest secret piece, converting the shares of the largest secret piece into corresponding quantum state sequences, inserting nonorthogonal state particles into the quantum state sequences with the purpose of detecting eavesdropping, and finally sending the new quantum state sequences to the three participants respectively. Consequently, every particle can on average carry up to 1.5-bit messages due to the use of recurrence. The control codes are randomly prepared using the way to generate fountain codes with pre-shared source codes between Alice and Bob, making three participants can detect eavesdropping by themselves without sending classical messages to Alice. Due to the flexible encoding, our scheme is also dynamic, which means that it allows the participants to join and leave freely. | 赖红 Orgun A.Mehmet 肖井华 Pieprzyk Josef 薛理银 | 2015 | Communications in Theoretical Physics2015，63，4： | 1 |
| 4 | An efficient quantum blind digital signature scheme显示文摘Recently, many quantum digital signature(QDS) schemes have been proposed to authenticate the integration of a message. However, these quantum signature schemes just consider the situation for bit messages,and the signing-verifying of one-bit modality. So, their signature efficiency is very low. In this paper, we propose a scheme based on an application of Fibonacci-, Lucas-and Fibonacci-Lucas matrix coding to quantum digital signatures based on a recently proposed quantum key distribution(QKD) system. Our scheme can sign a large number of digital messages every time. Moreover, these special matrices provide a method to verify the integration of information received by the participants, to authenticate the identity of the participants, and to improve the efficiency for signing-verifying. Therefore, our signature scheme is more practical than the existing schemes. | Hong LAI Mingxing LUO Josef PIEPRZYK Zhiguo QU Shudong LI Mehmet A.ORGUN | 2017 | Science China(Information Sciences)2017，60，8： | 0 |
| 5 | Large-Capacity Three-Party Quantum Digital Secret Sharing Using Three Particular Matrices Coding显示文摘In this paper, we develop a large-capacity quantum digital secret sharing(QDSS) scheme, combined the Fibonacci- and Lucas-valued orbital angular momentum(OAM) entanglement with the recursive Fibonacci and Lucas matrices. To be exact, Alice prepares pairs of photons in the Fibonacci- and Lucas-valued OAM entangled states, and then allocates them to two participants, say, Bob and Charlie, to establish the secret key. Moreover, the available Fibonacci and Lucas values from the matching entangled states are used as the seed for generating the Fibonacci and Lucas matrices. This is achieved because the entries of the Fibonacci and Lucas matrices are recursive. The secret key can only be obtained jointly by Bob and Charlie, who can further recover the secret. Its security is based on the facts that nonorthogonal states are indistinguishable, and Bob or Charlie detects a Fibonacci number, there is still a twofold uncertainty for Charlie'(Bob') detected value. | 赖红 罗明星 Josef Pieprzyk 陶丽 刘志明 Mehmet A.Orgun | 2016 | Communications in Theoretical Physics2016，65，11： | 0 |
| 6 | Novel entanglement compression for QKD protocols using isometric tensors显示文摘The problem of performing compression on a source of entangled states in quantum key distribution(QKD)protocols has become a hot research topic[1,2].Since quantum processors that are used to send quantum information between nodes are relatively primitive and low in power[3]. | Hong LAI Josef PIEPRZYK Lei PAN | 2023 | Science China(Information Sciences)2023，66，8： | 0 |
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