{"title":"Robustness of quantum random walk search with multi-phase matching","authors":"Hristo Tonchev, Petar Danev","doi":"10.1007/s11128-025-04736-3","DOIUrl":"10.1007/s11128-025-04736-3","url":null,"abstract":"<div><p>In our previous works, we have studied quantum random walk search algorithm on hypercube, with traversing coin constructed by using generalized Householder reflection and a phase multiplier. When the same phases are used each iteration, the algorithm is robust (stable against errors in the phases) if a certain connection between the phases in the traversing coin is preserved, otherwise small errors lead to poor algorithm performance. Here, we investigate how the robustness changes if different phases are used, depending on the current iteration number. We numerically study six different examples with different phase sequences. We show that usage of a particular sequence of phases can make the algorithm more robust even if there is no preserved connection between the phases in the traversing coin.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143900686","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":"Multi-party dynamic secret sharing protocol based on orthogonal product states","authors":"Yun Chen, Shuai Li, Jian Li, Juanyang Zhang","doi":"10.1007/s11128-025-04740-7","DOIUrl":"10.1007/s11128-025-04740-7","url":null,"abstract":"<div><p>Quantum secret sharing (QSS) is a cryptographic protocol based on the principles of quantum mechanics, used for the secure distribution and reconstruction of secret information among multiple participants. This paper presents a quantum secret sharing protocol for multi-party to multi-party scenarios, utilizing orthogonal product states. In this protocol, the third party (TP) is responsible for preparing the necessary quantum states, while the participants from both groups are merely required to execute unitary operations or perform measurements on the quantum states. Only through honest cooperation among all participants in each group can they obtain the shared secret. During the protocol, the secret to be sent is encoded using orthogonal product states, and the quantum states are split and sent to the recipients. Moreover, to accommodate potential variations in the number of participants throughout the protocol, dynamic participant adjustment operations are included. Our analysis shows that the protocol is capable of withstanding common attack methods. We hope that this idea will have a positive impact on further research in quantum secret sharing.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143900687","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}
Suzhen Yuan, Xianli Li, Shu Yinxia, Xianrong Qing, Jermiah D. Deng
{"title":"Improved quantum image weighted average filtering algorithm","authors":"Suzhen Yuan, Xianli Li, Shu Yinxia, Xianrong Qing, Jermiah D. Deng","doi":"10.1007/s11128-025-04741-6","DOIUrl":"10.1007/s11128-025-04741-6","url":null,"abstract":"<div><p>Average filtering plays a vital role in image smoothing tasks. However, existing quantum image weighted average filtering methods suffer from high circuit complexity. Therefore, this paper proposes an improved quantum color image weighted average filtering algorithm and its corresponding quantum circuit. First, we improve the quantum circuit to prepare classical color images into a quantum state. Then, an improved quantum divider is developed, and a weighted average filter is constructed using basic quantum image processing modules. Next, to enhance the universality of the filter, a quantum comparator with lower circuit complexity is used to design a noise detection module for distinguishing noise from real signals. Finally, a quantum circuit for color image weighted average filtering is designed, and simulations are conducted on the IBM Quantum Experience (IBM Q) platform to verify the feasibility of our algorithm. The analysis shows that compared with existing methods, this method significantly reduces the circuit complexity and has better filtering performance.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143896706","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":"Uncertainty characterization of stabilizer states and magic states for qubit systems","authors":"Bowen Wang, Jiayu He, Shuangshuang Fu","doi":"10.1007/s11128-025-04738-1","DOIUrl":"10.1007/s11128-025-04738-1","url":null,"abstract":"<div><p>For qubit systems, we propose three quantifiers of uncertainty given in the product form of uncertainties for Pauli observables. We analyze the corresponding quantum states which achieve the minimum and maximum of these quantifiers, and reveal their connections with the stabilizer formalism of fault-tolerant quantum computation. Explicitly, for the quantifier of total and quantum uncertainty, we show that the minimum and maximum uncertainty states are the stabilizer states and the <i>T</i>-type magic states, respectively. We compare our results with two recently proposed characterizations of stabilizer states and magic states via the Heisenberg uncertainty relations and refined quantum uncertainty relations. Also, we briefly discuss the situation when the uncertainty quantifiers are defined in the sum form.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143892748","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":"Thermal quantum information capacity in a topological insulator","authors":"Leonardo A. Navarro-Labastida","doi":"10.1007/s11128-025-04732-7","DOIUrl":"10.1007/s11128-025-04732-7","url":null,"abstract":"<div><p>Thermal effects in a one-dimensional Su-Schrieffer-Hegger topological insulator are studied. Particularly, we focus on quantum information processing capacity for thermal ensembles. To evaluate quantum information processing, an optimized quantum Fisher information is introduced as a quantifier of entanglement and topological phases are calculated by a definition in real space for the electric polarization of mixture states. For the thermal ensemble, there is a relationship between the Fisher metric and the electric polarization in such a way that in the topological region, there is more entanglement, and therefore, creates more robustness and protection in the quantum information against to thermal effects. Moreover, long-range hopping effects are studied and it is found that in this case, the optimized quantum Fisher information captures these topological phase transitions in the limit of low temperature by the formalism in real space.\u0000</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11128-025-04732-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quantum block image encryption based on Arnold transform and improved zigzag transform","authors":"She-Xiang Jiang, Shuai-Shuai Li, Jin-Huan Li, Xiao-Long Wei","doi":"10.1007/s11128-025-04735-4","DOIUrl":"10.1007/s11128-025-04735-4","url":null,"abstract":"<div><p>With the rapid development of science and technology, image security has become increasingly critical. In this paper, a novel quantum block image encryption algorithm based on quantum Arnold transform and improved Zigzag transform is proposed. First, the classical plaintext image is transformed into quantum form with the novel enhanced quantum representation model. Then, the Quantum Arnold Transform (QArT) is utilized to scramble the image sub-blocks by manipulating the qubits that represent positional information. By iterating the block-level permutation procedure with varying block sizes and QArT parameters each time, the lack of periodicity of the QArT can be compensated to a certain extent. The scrambled image undergoes secondary diffusion through an improved Zigzag transform, altering both pixel position and pixel value. The corresponding quantum circuits are given, and the numerical simulation results demonstrate that the proposed quantum image encryption scheme is both valid and reliable for quantum image protection in terms of security and computational complexity.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883584","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":"Nonlinear dynamics of a quantum Cournot triopoly game with heterogeneous players","authors":"Longfei Wei, Shouli Wang, Zhenhua Bao","doi":"10.1007/s11128-025-04739-0","DOIUrl":"10.1007/s11128-025-04739-0","url":null,"abstract":"<div><p>In this paper, quantum game theory is applied to develop a dynamic model of the quantum Cournot triopoly game. First, we construct a nonlinear dynamic quantum Cournot triopoly game characterized by players with heterogeneous expectations. The three players are considered to be boundedly rational, naïve, and adaptive. Second, the local stability of the quantum equilibrium, the influence of quantum entanglement on stability region, and nonlinear dynamic behavior of the discrete dynamical system are analyzed. Numerical simulations are used to illustrate the stability region, bifurcation and chaos diagrams, strange attractors, and sensitive dependence on initial conditions. Finally, an appropriate control scheme is applied to stabilize the chaotic behavior at the quantum Nash equilibrium point.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883586","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":"Constacyclic codes over (mathbb {F}_{q^{2}} times (mathbb {F}_{q^{2}}+vmathbb {F}_{q^{2}})) and their applications in constructing new quantum codes","authors":"Liqi Wang, Xinxin Zhang, Shixin Zhu","doi":"10.1007/s11128-025-04737-2","DOIUrl":"10.1007/s11128-025-04737-2","url":null,"abstract":"<div><p>Let <span>(mathbb {F}_{q^{2}}mathcal {R}=mathbb {F}_{q^{2}} times (mathbb {F}_{q^{2}}+vmathbb {F}_{q^{2}}))</span>, where <i>q</i> is an odd prime power and <span>(v^{2}=v)</span>. In this paper, we discuss the properties of linear codes and <i>u</i>-constacyclic codes over <span>(mathbb {F}_{q^{2}}mathcal {R})</span>, where <span>(u=(u_1,u_2))</span>, <span>(u_1in mathbb {F}_{q^2}^*)</span>, <span>(u_2=varepsilon (1-2v))</span>, and <span>(varepsilon in mathbb {F}_{q^2}^*)</span>. Besides, a Gray map from <span>(mathbb {F}_{q^{2}}^{m}times mathcal {R}^{n})</span> to <span>(mathbb {F}_{q^{2}}^{m+2n})</span> is defined, and the Gray images of linear codes and the separable <span>(mathbb {F}_{q^{2}}mathcal {R})</span>-<i>u</i>-constacyclic codes are studied. According to the Gray images of the separable <span>(mathbb {F}_{q^{2}}mathcal {R})</span>-<i>u</i>-constacyclic codes, some new quantum codes are obtained. Compared with the known ones, our codes have better parameters.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143879627","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":"Quantum squeezing effects in coupled van der Pol oscillators","authors":"M. Preethi, M. Senthilvelan","doi":"10.1007/s11128-025-04734-5","DOIUrl":"10.1007/s11128-025-04734-5","url":null,"abstract":"<div><p>Achieving synchronized quantum states within the quantum realm is a significant goal. This regime is characterized by restricted excitation occurrences and a highly nonclassical stable state of the self-oscillating system. However, many existing approaches to observe synchronization in this quantum realm face a major challenge: the influence of noise tends to overshadow the synchronization phenomenon. In coupled van der Pol oscillators, synchronization occurs when a system of two or more oscillators interacts. Our investigation demonstrates that introducing the squeezing Hamiltonian in two coupled van der Pol oscillators enhances nonclassical effects, increases quantum correlations, and improves the robustness of synchronization dynamics. This was evidenced through the analysis of the Wigner function and power spectrum, showing significant improvements compared to systems without squeezing.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143856480","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":"Impact of hardware connectivity on Grover’s algorithm in NISQ era","authors":"Mohit Joshi, Manoj Kumar Mishra, S. Karthikeyan","doi":"10.1007/s11128-025-04733-6","DOIUrl":"10.1007/s11128-025-04733-6","url":null,"abstract":"<div><p>The quantum search operation as dictated in Grover’s landmark paper had been a crucial area in the study of quantum algorithms. It has become a critical component in many quantum cryptography and computation algorithms and threatens today’s AES security infrastructure. The quadratic speedup provided by Grover’s algorithm is hampered severely due to the presence of a realistic environment. Many studies have analyzed the effect of different noises on Grover’s search algorithm. However, the efficiency of the algorithm also depends on the connectivity of qubits on realistic quantum hardware. This study evaluated the performance of Grover’s algorithm with varying qubit connectivity under the presence of two-qubit depolarizing noise and single-qubit amplitude damping and dephasing noise. Unidirectional and bidirectional variants of nine coupling maps for qubit connectivity were chosen. The analysis has shown that the transpilation efficiency for Grover’s algorithm is deeply sensitive to the connectivity and degree of the hardware, which influences the depth of the circuit. This, in turn, has a measurable effect on the performance of the algorithm on a particular hardware. This study also ranks the favorable coupling maps using the decision-making technique of AHP-TOPSIS. The analysis has shown that <i>grid</i>, <i>hex</i>, and <i>modified star</i> are the most favorable hardware connectivity. The unidirectional <i>linear</i>, <i>ring</i>, <i>star</i>, and <i>full-connected</i> are the worst choices.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848998","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}