Xiuli Song, Jianbing Zhou, Qian Chen, Tao Wu, Yousheng Zhou
{"title":"Quantum homomorphic encryption scheme based on elliptic curve cryptography","authors":"Xiuli Song, Jianbing Zhou, Qian Chen, Tao Wu, Yousheng Zhou","doi":"10.1007/s11128-025-04746-1","DOIUrl":"10.1007/s11128-025-04746-1","url":null,"abstract":"<div><p>As an important component of the quantum encryption algorithm family, quantum homomorphic encryption performs evaluation calculations on ciphertext quantum states without decryption, and the calculated results are the same as those obtained by directly calculating plaintext quantum states. In the evaluation process, when using <i>T</i>-gate as the evaluation operator, an error of <i>S</i>-gate will be generated. In the current scheme, the complexity of the method to eliminate this error is too high. Therefore, in this paper, elliptic curve cryptography(ECC) and quantum encoding methods are integrated into the quantum homomorphic encryption scheme, enhancing the security of evaluation parameters during transmission. At the same time, a method is proposed to eliminate <i>S</i>-gate errors by constructing an <span>(Gamma _u)</span>-operator. Compared to other similar QHE encryption schemes, the proposed scheme has higher security and reduces the complexity of eliminating <i>S</i>-gate errors. Finally, the security of each process in the algorithm was analyzed, and the feasibility and correctness of the algorithm were verified through simulation experiments.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144084936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Comparative study of squeezing-assisted Mach–Zehnder interferometer under homodyne, product detection and first-order correlation measurements","authors":"Anand Kumar, Gaurav Shukla, Devendra Kumar Mishra","doi":"10.1007/s11128-025-04751-4","DOIUrl":"10.1007/s11128-025-04751-4","url":null,"abstract":"<div><p>Precision measurement plays an important role in the field of quantum metrology. Choosing an appropriate measurement scheme improves measurement outcomes. Homodyne detection schemes, product detection schemes and correlation measurement schemes are the detection schemes that provide better information than the intensity detection schemes. Here, we compare the performance of all three detection schemes on a squeezing-assisted Mach–Zehnder interferometer in real scenarios. This comparison helps in the application of quantum sensing.\u0000</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144074094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Haoyu Liao, Qingbin Luo, Yuanmeng Zheng, Yi Lv, Lang Ding
{"title":"Quantum circuit implementation for (mathbb {F}_{2^8}) multiplication based on algebraic curve method","authors":"Haoyu Liao, Qingbin Luo, Yuanmeng Zheng, Yi Lv, Lang Ding","doi":"10.1007/s11128-025-04749-y","DOIUrl":"10.1007/s11128-025-04749-y","url":null,"abstract":"<div><p>Binary field multiplication is widely used in quantum information processing, such as quantum algorithms, cryptanalysis and mathematical arithmetic. The core quantum resources of binary field multiplication are the qubit count and Toffoli depth of its quantum circuit, both of which are largely dependent on the Toffoli gate count. In this paper, we analyze the multiplicative complexity of binary field and present quantum circuits for <span>(mathbb {F}_{2^8})</span> multiplication from the perspective of time and space. We find that the Toffoli gate count of quantum circuit corresponds to the bilinear complexity in <span>(mathbb {F}_{2^n})</span> multiplication. The Toffoli gate count obtained by the algebraic curve method increases linearly with <span>({varvec{n}})</span>, which is slower than the sub-quadratic complexity of Karatsuba algorithm and the iterated logarithm complexity of Chinese remainder theorem (CRT). To demonstrate the advantages of the algebraic curve method, we use elliptic curve bilinear algorithm in <span>(mathbb {F}_{(2^2)^4})</span> and composite field arithmetic (CFA) to present two types quantum circuits for <span>(mathbb {F}_{2^8})</span> multiplication, both of which have 24 Toffoli gates and are the lowest at present. The Toffoli depth of the time-efficient quantum circuit is only 1, and the product <span>({varvec{Dcdot W}})</span> of the depth and width of the circuit is 72, which is lower than before. The space-efficient quantum circuits require 24 qubits and maintain the Toffoli depth of 4, their <span>({varvec{Dcdot W}})</span> and Toffoli depth are reduced by at least 77.8<span>(%)</span> compared with the most advanced research.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949470","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two coupled spins via Ising model as the working substance for quantum Carnot and Otto cycles","authors":"Neda Valizadeh, Zahra Ebadi, Hosein Mohammadzadeh","doi":"10.1007/s11128-025-04763-0","DOIUrl":"10.1007/s11128-025-04763-0","url":null,"abstract":"<div><p>We study a quantum Carnot and Otto engine consisting of two coupled spin-<span>(frac{1}{2})</span> particles and two coupled spin-1 particles within the Ising model, focusing on how the system transitions between functioning as a heat engine or a refrigerator based on the external magnetic fields and coupling constant. The magnetic fields influence the energy levels of the spins, while the coupling constant governs the strength of spin interactions, enabling enhanced energy transfer and utilization. Our analysis reveals that the coupled system achieves higher efficiency and coefficient of performance (COP) compared to its uncoupled counterpart under specific conditions. By identifying optimal values for the magnetic fields and coupling constant, we demonstrate how the interplay of these parameters allows the coupled system to outperform uncoupled systems in both energy conversion and thermal regulation, highlighting the potential of spin coupling in optimizing quantum thermodynamic devices.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Non-Hermitian coupling strength induced exceptional points and nonlinear effects","authors":"Wenlin Li, Chong Li, Heshan Song","doi":"10.1007/s11128-025-04747-0","DOIUrl":"10.1007/s11128-025-04747-0","url":null,"abstract":"<div><p>Non-Hermitian quantum theories with parity-time symmetry have been rapidly developed and hold great promise for future applications. Unlike most of the existing works that consider the symmetry of the free energy terms (e.g., gain–loss system), in this paper it is proved that a realizable non-Hermitian two-body interaction with asymmetric coupling strength between quantum resonance systems can also have a real spectrum after the exceptional point. Such a non-Hermitian interaction is realized in designed optomechanics, and we find that some nonlinear effects, such as synchronization phase transition and chaos, are observed as expected. Moreover, all quantum properties of the whole system, including the asymmetric interaction parts, can be solved by full quantum theory. Our results provide a platform for realizing parity-time symmetry devices and studying properties of non-Hermitian quantum mechanics.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949465","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Supersymmetric extension of Deutsch–Jozsa algorithm","authors":"Abdeslem Khemakhmia, Habib Aissaoui","doi":"10.1007/s11128-025-04753-2","DOIUrl":"10.1007/s11128-025-04753-2","url":null,"abstract":"<div><p>This work introduces a supersymmetric (SUSY) extension of the Deutsch–Jozsa algorithm, leveraging superqubits and supergates to enhance quantum computational efficiency. We present a theoretical framework for SUSY-based quantum information processing, demonstrating how superqubit manipulation via supergates preserves the exponential speedup of the Deutsch–Jozsa algorithm while improving resource utilization. Numerical simulations using Qiskit validate the protocol’s advantages over conventional quantum approaches. Additionally, we establish foundational connections between supersymmetry and quantum computing, highlighting potential applications in cryptography and optimization.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"QryptGen: a quantum GAN-based image encryption key generator using chaotic data distributions","authors":"Gilsang Ahn, Seokhie Hong","doi":"10.1007/s11128-025-04750-5","DOIUrl":"10.1007/s11128-025-04750-5","url":null,"abstract":"<div><p>The emergence of generative adversarial networks (GANs) has led to tremendous advancements in deep learning-based AI for image generation. While many researchers have used GANs to generate human faces and numeric images, others have applied them to learn and generate images from data distributions created by less distinct, chaotic systems. These chaotically generated images can serve as encryption keys for simple image encryption methods, potentially useful in military applications where data security is crucial, or in hospitals handling sensitive images like X-rays, CTs, MRIs, and physical photographs. Meanwhile, quantum GANs are still in their early research stages, primarily learning from distinct images like those in the MNIST or Fashion MNIST datasets. In this paper, we demonstrate that quantum machine learning models, specifically QGANs, can also learn from non-descript chaotic data distributions. We propose QryptGen (quantum crypt generator), which produces 28 <span>(times )</span> 28 pixel grayscale image encryption keys. We show that encryption keys generated through quantum machine learning techniques can achieve a level of security comparable to those generated by classical deep learning techniques, thus confirming the potential of quantum machine learning to contribute broadly beyond just image encryption. Specifically, our study employs patch QGAN with a minimal number of qubits to maximize quantum advantages on NISQ devices, enhancing practicality.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143944245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rizwan Ahmed, Hazrat Ali, Aamir Shehzad, S. K. Singh, Amjad Sohail, Marcos César de Oliveira
{"title":"Nonreciprocal multipartite entanglement induced by Kerr nonlinearity","authors":"Rizwan Ahmed, Hazrat Ali, Aamir Shehzad, S. K. Singh, Amjad Sohail, Marcos César de Oliveira","doi":"10.1007/s11128-025-04757-y","DOIUrl":"10.1007/s11128-025-04757-y","url":null,"abstract":"<div><p>We present a theoretical scheme for the generation of nonreciprocal multipartite entanglement in a two-mode cavity magnomechanical system, consisting of two cross-microwave cavities having a yttrium-iron-garnet (YIG) sphere, which is coupled through magnetic dipole interaction. Our results show that the self-Kerr effect of magnon (which depends on the intensity of the magnons) can significantly enhance multipartite entanglement, which turns out to be nonreciprocal when the magnetic field is tuned along different crystallographic axes. This is due to the frequency shift on the magnons (YIG sphere), which depends upon the magnetic field’s direction. Interestingly, the degree of nonreciprocity of bipartite entanglements depends upon a careful optimal choice of system parameters like normalized cavity detunings, bipartite nonlinear index <span>(Delta E_{K})</span>, self-Kerr coefficient, and effective magnomechanical coupling rate <i>G</i>. In addition to bipartite entanglement, we also present the idea of a bidirectional contrast ratio, which quantifies the nonreciprocity in tripartite entanglements. Our present theoretical proposal for nonreciprocity in multipartite entanglement may find applications in diverse engineering nonreciprocal devices. Furthermore, the current scheme might enhance the functionality of magnonic devices, and improve sensing capabilities.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143944378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Local distinguishability of lattice states in arbitrary dimensional system","authors":"Qi-Yue Zhao, Ying-Hui Yang, Shi-Jiao Geng, Pei-Ying Chen","doi":"10.1007/s11128-025-04755-0","DOIUrl":"10.1007/s11128-025-04755-0","url":null,"abstract":"<div><p>In this paper, we investigate the local distinguishability of lattice states in an arbitrary dimension system. Suppose <span>(d=prod _{j=1}^{f}p_{j}^{r_{j}})</span> is the prime factorization of a positive integer <i>d</i>. For all the lattice matrices in <span>(mathbb {C}^{d}otimes mathbb {C}^{d})</span>, we present a useful characterization of the maximal commuting set (MCS). We also show that each MCS contains exactly <i>d</i> matrices and there are a total of <span>(prod _{j=1}^{f}prod _{i=1}^{r_{j}}(p_{j}^{i}+1))</span> distinct MCSs. Using these results of MCS, we present two methods to determine the local discrimination of lattice states. The previous results [Sci. China-Phys. Mech. Astron. 63, 280312 (2020)] can be covered by our results.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Realignment-based separability criteria and lower bounds of entanglement","authors":"Yu Lu, Zhong-Xi Shen, Shao-Ming Fei, Zhi-Xi Wang","doi":"10.1007/s11128-025-04758-x","DOIUrl":"10.1007/s11128-025-04758-x","url":null,"abstract":"<div><p>The detection of entanglement is a crucial issue in quantum information science. Based on the realignment of density matrices and the vectorization of the reduced density matrices, we introduce a set of new separability criteria. These separability criteria detect more entanglement than the corresponding existing ones. Moreover, we provide new criteria for detecting the genuine tripartite entanglement and lower bounds for the concurrence and convex-roof extended negativity. The advantages of results are demonstrated through detailed examples.\u0000\u0000</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143938652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}