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Anomalous non-Hermitian dynamical phenomenon on the quantum circuit

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Chinese Physics B 2023年第7期32卷 132-141页

作者：董陈潇杨哲森曾进峰胡江平 Beijing National Laboratory for Condensed Matter Physics and Institute of PhysicsChinese Academy of SciencesBeijing 100190China Kavli Institute for Theoretical Sciences University of Chinese Academy of SciencesBeijing 100190China South Bay Interdisciplinary Science Center Dongguan 523808China Beijing Academy of quantum Information Sciences Beijing 100193China

The anomalous non-Hermitian dynamical phenomenon with the non-Hermitian skin effect(NHSE)attracts wide attention due to its novel physics and promising ***,we propose a new type of non-unitary discrete-time quantum walk system demonstrating the NHSE and anomalous non-Hermitian dynamical phenomena,including the dynamical chiral phenomenon,the funneling phenomenon on the domain wall,and the anomalous reflection on the phase ***,we design the quantum circuit experiments of these quantum walk systems and numerically simulate them with quantum noises to verify the robustness of the non-Hermitian dynamical phenomenon on the noisy intermediate-scale quantum(NISQ)*** work paves the way for implementing the non-Hermitian dynamical phenomenon on the quantum circuit.

关键词： spectral degeneracy splitting discrete-time quantum walk quantum circuit non-Hermitian skin effect

Universal quantum circuit of near-trivial transformations

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Science China(Physics,Mechanics & Astronomy) 2011年第10期54卷 1819-1827页

作者： LIANG Min YANG Li State Key Laboratory of Information Security Graduate University of Chinese Academy of Sciences Beijing 100049 China

Any unitary transformation can be decomposed into a product of a group of near-trivial transformations. We investigate in detail theconstruction of universal quantum circuit of near trivial transformations. We first construct two universal quantum circuits whichcan implement any single-qubit rotation Ry(θ) and Rz(θ) within any given precision, and then we construct universal quantum circuitimplementing any single-qubit transformation within any given precision. Finally, a universal quantum circuit implementing anyn-qubit near-trivial transformation is constructed using the universal quantum circuits of Ry(θ) and Rz(θ). In the universal quantumcircuit presented, each quantum transformation is encoded to a bit string which is used as ancillary inputs. The output of the circuitconsists of the related bit string and the result of near-trivial transformation. Our result may be useful for the design of universalquantum computer in the future.

关键词： quantum computation quantum circuit universal quantum circuit near-trivial transformation

A quantum circuit design of AES requiring fewer quantum qubits and gate operations

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Frontiers of physics 2022年第4期17卷 99-105页

作者： Ze-Guo Wang Shi-Jie Wei Gui-Lu Long State Key Laboratory of Low-Dimensional quantum Physics and Department of Physics Tsinghua UniversityBeijing 100084China Beijing Academy of quantum Information Sciences Beijing 100193China Beijing National Research Center for Information Science and Technology and School of Information Tsinghua University Beijing 100084China Frontier Science Center for quantum Information Beijing 100084China

Advanced Encryption Standard(AES)is one of the most widely used block ciphers nowadays,and has been established as an encryption standard in *** we design AES-128 and the sample-AES(S-AES)quantum circuits for *** the quantum circuit of AES-128,we perform an affine transformation for the SubBytes part to solve the problem that the initial state of the output qubits in SubBytes is not the|0⟩⊗8 *** that,we are able to encode the new round sub-key on the qubits encoding the previous round sub-key,and this improvement reduces the number of qubits used by 224 compared with Langenberg et al.’s *** S-AES,a complete quantum circuit is presented with only 48 qubits,which is already within the reach of existing noisy intermediate-scale quantum computers.

关键词： AES S-AES quantum circuit quantum attack

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Hybrid bidirectional quantum communication with different levels of control with simulation

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Communications in Theoretical Physics 2025年第1期77卷 65-91页

作者： Plaban Saha Manoj Kumar Mandal Binayak S Choudhury Soumen Samanta Department of Mathematics Indian Institute of Engineering Science and TechnologyShibpur B.GardenHowrah—711103West BengalIndia Department of Applied Science and Humanities Haldia Institute of TechnologyHatiberiaHaldiaPurba Medinipur—721657West BengalIndia

In this paper,we develop a quantum communication protocol for the simultaneous preparation of a two-qubit and a three-qubit state at the positions of two different parties situated spatially *** one party,Alice,it is a remote state preparation of a known two-qubit state while for the other party,Bob,it is a joint remote state preparation with the help of a third party,*** protocol is executed in a hybrid form bi-directionally in the presence of two controllers,Charlie and *** is a hierarchy in the process through different levels of control under which the actions by Alice and Bob are *** is a need for a ten-qubit entangled channel connecting the five *** generation of this channel through a circuit is *** protocol is executed on the IBM quantum *** also study the effect of noise on our ***,amplitude-damping,bit-flip and phase-flip noisy environments are considered and the corresponding variations of fidelity are theoretically and numerically analyzed.

关键词： remote state preparation joint remote state preparation hierarchy entangled state quantum circuit controlled protocol

Symbolic Reasoning About quantum circuits in Coq

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Journal of Computer Science & Technology 2021年第6期36卷 1291-1306页

作者： Wen-Jun Shi Qin-Xiang Cao Yu-Xin Deng Han-Ru Jiang Yuan Feng Shanghai Key Laboratory of Trustworthy Computing East China Normal UniversityShanghai 200062China John Hopcroft Center of Computer Science Shanghai Jiao Tong UniversityShanghai 200240China Yanqi Lake Beijing Institute of Mathematical Sciences and Applications Beijing 101408China Centre for quantum Software and Information University of Technology SydneySydney NSW 2007Australia

A quantum circuit is a computational unit that transforms an input quantum state to an output state.A natural way to reason about its behavior is to compute explicitly the unitary matrix implemented by ***,when the number of qubits increases,the matrix dimension grows exponentially and the computation becomes *** this paper,we propose a symbolic approach to reasoning about quantum *** is based on a small set of laws involving some basic manipulations on vectors and *** symbolic reasoning scales better than the explicit one and is well suited to be automated in Coq,as demonstrated with some typical examples.

关键词： quantum circuit symbolic reasoning Dirac notation Coq

quantum Searching Algorithm and circuit Implementation

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Quantum Searching Algorithm and Circuit Implementation

An Extended Approach for Generating Unitary Matrices for quantum circuits

2008’“先进集成技术”院士论坛暨第二届仪表、自动化与先进集成技术大会

作者： Li Hui Li Chunwen (Department of Automation,Tsinghua University Beijing 100084 P.R.China)

In order to solve ordered quantum database search problem,*** proposed the"quantum Binary Searching Algorithm",which can be used to implement the whole searching process in four steps. Considering the characteristic of quantum parallelism,this paper further improves the searching process,which can be performed in only two steps,and presents the circuit *** our scheme the number of the quantum logic gates of our algorithm doesn't ***,our proposal can efficiently prevent the"losing-solution"issue exposed in the"quantum Binary Searching Algorithm".

关键词： quantum searching algorithm quantum circuit time optimization

来源： cnki会议评论

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Computers, Materials & Continua 2020年第3期62卷 1413-1421页

作者： Zhiqiang Li Wei Zhang Gaoman Zhang Juan Dai Jiajia Hu Marek Perkowski Xiaoyu Song College of Information Engineering Yangzhou UniversityYangzhou225000China Department of Electrical&Computer Engineering Portland State UniversityPortlandOregonUSA

In this paper,we do research on generating unitary matrices for quantum circuits *** consider that quantum circuits are divided into six types,and the unitary operator expressions for each type are *** on this,we propose an algorithm for computing the circuit unitary matrices in ***,for quantum logic circuits composed of quantum logic gates,a faster method to compute unitary matrices of quantum circuits with truth table is introduced as a ***,we apply the proposed algorithm to different reversible benchmark circuits based on NCT library(including NOT gate,Controlled-NOT gate,Toffoli gate)and generalized Toffoli(GT)library and provide our experimental results.

关键词： quantum circuit unitary matrix quantum logic gate reversible circuit truth table

quantum circuits for realizing deterministic and exact teleportation via two partially entangled pairs of particles

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Chinese Physics B 2006年第3期15卷 482-487页

作者：李文东张建立顾永建 Department of Physics Ocean University of China Qingdao 266071 China

Deterministic and exact teleportation can be achieved via two partially entangled pairs of particles [Gu Y J 2006 Opt. Comm. 259 385]. The key point of the protocol is a generalized measurement described by a positive operator- valued measure, which can be realized by performing a unitary operation in the extended space and a conventional Von Neumann orthogonal measurement. By decomposing the evolution process from the initial state to the final state, we construct the quantum circuits for realizing the unitary operation with quantum Toffoli gates, and thus provide a physical means to realize the teleportation. Our method for constructing quantum circuits differs from the usual methods based on decomposition of unitary matrices, and is convenient for a large class of quantum processes involving generalized measurements.

关键词： quantum circuit teleportation partially entangled state generalized measurement

A Novel Framework to Construct S-Box quantum circuits Using System Modeling: Application to 4-Bit S-Boxes

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Computer Modeling in Engineering & Sciences 2024年第10期141卷 545-561页

作者： Yongjin Jeon Seungjun Baek Jongsung Kim Department of Financial Information Security Kookmin UniversitySeoul02707Republic of Korea

quantum computers accelerate many algorithms based on the superposition principle of quantum *** Grover algorithm provides significant performance to malicious users attacking symmetric key *** the performance of attacks using quantum computers depends on the efficiency of the quantum circuit of the encryption algorithms,research research on the implementation of quantum circuits is *** paper presents a new framework to construct quantum circuits of substitution boxes(S-boxes)using system *** model the quantum circuits of S-boxes using two layers:Toffoli and linear *** generate vector spaces based on the values of qubits used in the linear layers and apply them to find quantum *** framework finds the circuit bymatching elements of vector spaces generated fromthe input and output of a given S-box,using the forward search or themeet-in-the-middle *** developed a tool to apply this framework to 4-bit *** the 4-bit S-box quantum circuit construction tool LIGHTER-R only finds circuits that can be implemented with four qubits,the proposed tool achieves the circuits with five *** proposed tool can find quantum circuits of 4-bit odd permutations based on the controlled NOT,NOT,and Toffoli gates,whereas LIGHTER-R is unable to perform this task in the same *** expect this technique to become a critical step toward optimizing S-box quantum circuits.

关键词： System modeling quantum circuit S-box circuit quantum computer