{"title":"Uncertainty of quantum channels via generalized Wigner–Yanase skew information","authors":"Jing-Feng Wu, Qing-Hua Zhang, Shao-Ming Fei","doi":"10.1007/s11128-024-04637-x","DOIUrl":"10.1007/s11128-024-04637-x","url":null,"abstract":"<div><p>Uncertainty relations are a distinctive characteristic of quantum physics. We provide a set of uncertainty relations for quantum channels based on the generalized Wigner–Yanase skew information. Both product-form and summation-form uncertainty inequalities are derived for two general quantum channels, which include the ones given by the Wigner–Yanase skew information as special cases. These uncertainty inequalities are further refined as uncertainty sequences. Detailed examples are given for several prototypical quantum channels.\u0000</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109663","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}
IlKwon Sohn, Boseon Kim, Kwangil Bae, Wooyeong Song, Wonhyuk Lee
{"title":"Error-correctable efficient quantum homomorphic encryption using Calderbank–Shor–Steane codes","authors":"IlKwon Sohn, Boseon Kim, Kwangil Bae, Wooyeong Song, Wonhyuk Lee","doi":"10.1007/s11128-025-04651-7","DOIUrl":"10.1007/s11128-025-04651-7","url":null,"abstract":"<div><p>The integration of quantum error correction codes and homomorphic encryption schemes is essential for achieving fault-tolerant secure cloud quantum computing. However, owing to the significant overheads associated with these schemes, their efficiency is paramount. In this study, we develop an efficient quantum homomorphic encryption scheme based on quantum error correction codes that uses a single encoding process to simultaneously perform encryption and encoding. By using a longer quantum error correction code, both the security and error correction capabilities of the scheme are improved. Through comprehensive evaluations, we demonstrate that the proposed scheme is more secure than the conventional permutation-key-based QHE scheme when the number of maximally mixed states is not more than twice the length of the quantum error correction code. The proposed scheme offers a more secure and efficient approach to quantum cloud computing, potentially paving the way for more practical and scalable quantum cryptographic protocols.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108892","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}
Ze Wang, Jing Nie, Xiuyi Yang, Song-Lin Wu, Xiao-Li Huang
{"title":"Steady-state entanglement of two coupled qubits in two independent squeezed thermal reservoirs","authors":"Ze Wang, Jing Nie, Xiuyi Yang, Song-Lin Wu, Xiao-Li Huang","doi":"10.1007/s11128-025-04654-4","DOIUrl":"10.1007/s11128-025-04654-4","url":null,"abstract":"<div><p>The steady-state entanglement of two mutually coupled qubits (each qubit interacts with its own local squeezed thermal reservoir) is investigated based on the Bloch–Redfield master equation beyond the secular approximation. In equilibrium settings (the temperatures of the two local thermal reservoirs are the same), the squeezing on both sides of the reservoir suppresses the steady-state entanglement. The steady-state entanglement is a nonmonotonic function with respect to the reservoir temperature in the equilibrium setting. Moreover, entanglement is suppressed under both squeezed vacuum reservoir and high-temperature thermal reservoir conditions irrespective of the value of the squeeze parameter. On the other hand, in non-equilibrium settings (the temperatures of the two local thermal reservoirs differ), asymmetrical squeezing significantly enhances the steady-state entanglement, which leads to higher maxima compared to the equilibrium scenarios. The temperature difference of the two reservoirs is found to be beneficial to the enhancement of the entanglement when the temperature of the high-temperature reservoir is fixed. The variations in effective temperature and eigenstate populations of the two-qubit system with respect to the squeeze parameter are also studied.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108893","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":"Improving Gaussian process with quantum kernel estimation","authors":"Xiaojian Zhou, Qi Cui, Meng Zhang, Ting Jiang","doi":"10.1007/s11128-024-04642-0","DOIUrl":"10.1007/s11128-024-04642-0","url":null,"abstract":"<div><p>Gaussian process (GP), as a pivotal offshoot of machine learning (ML), has garnered significant attention in recent years due to its exceptional advantages in tackling high-dimensional and nonlinear regression quandaries. However, when confronted with large-scale datasets, the classical GP model often encounters dual challenges of modeling speed and prediction accuracy. To effectively tackle these challenges, we consider introducing the quantum kernel estimation (QKE) method into the implementation of the classical GP, and we propose a quantum kernel estimation-based Gaussian process (QKE-GP) model. The proposed QKE-GP model employs a quantum feature map (QFM) circuit containing two suitable variational parameters to generate the trainable quantum kernel. Moreover, we utilize the quantum gradient descent (QGD) optimization algorithm to bolster the expressive capacity of the trainable quantum kernel, thus improving the prediction accuracy of model when dealing with large-scale datasets. Following this, we utilize the trained quantum kernel to replace the classical kernel function within the GP model, obtaining the quantum version of the GP model for predicting new data points. To validate the effectiveness of the proposed model, three numerical experiments are carried out in this study. The findings demonstrate that the prediction accuracy of the QKE-GP model outperforms that of the classical GP model in all three scenarios.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108894","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":"Relationship between fidelity and spin squeezing parameter in a two-qutrit system under nonlinear Hamiltonians","authors":"Azita Naji","doi":"10.1007/s11128-024-04641-1","DOIUrl":"10.1007/s11128-024-04641-1","url":null,"abstract":"<div><p>In this article, we study the relationship between the spin squeezing parameter and fidelity in a qutrit spin system under the one-axis counter-twisting, two-axis counter-twisting, and Ising Hamiltonians. To this end, it investigates the teleportation of an arbitrary state through a channel squeezed by nonlinear Hamiltonians. The results show that fidelity, negativity, and squeezing parameters are oscillatory functions over time, and fidelity has a good value when the squeezing parameter is maximum. The Kitagawa squeezing parameter is more suitable than negativity to select the optimal channel state for effective teleportation. Additionally, the fidelity of the teleported state through a channel under the Ising Hamiltonian is averagely optimal over time.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963157","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":"Detection of entanglement via moments of positive maps","authors":"Mazhar Ali","doi":"10.1007/s11128-025-04653-5","DOIUrl":"10.1007/s11128-025-04653-5","url":null,"abstract":"<div><p>We have reexamined the moments of positive maps and the criterion based on these moments to detect entanglement. For two qubits, we observed that reduction map is equivalent to partial transpose map as the resulting matrices have the same set of eigenvalues although both matrices look different in same computational basis. Consequently, the detection power of both maps is same. For <span>(2 otimes 4)</span> systems, we find that moments of reduction map are capable to detect a family of bound entangled states. For qutrit–qutrit systems, we show that moments of reduction map can detect two well-known families of bound entangled states. The moments of another positive map can detect the complete range of entanglement for a specific family of quantum states, whereas the earlier criterion fails to detect a small range of entangled states. For three qubits system, we find that applying reduction map to one of the qubit is equivalent to partial transpose operation. In particularly, for GHZ state and W state mixed with white noise, all the moments of a reduction map are exactly the same as the moments of partial transpose map.\u0000</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963156","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":"Implementing direct three-tangle measurement of tripartite GHZ states on IBM quantum platforms","authors":"Seyed Navid Elyasi, Marziyeh Yahyavi, Naser Karimi","doi":"10.1007/s11128-024-04635-z","DOIUrl":"10.1007/s11128-024-04635-z","url":null,"abstract":"<div><p>Among the various quantum phenomena that contribute to the efficiency of quantum computation compared to classical computation, entanglement plays a pivotal role. To witness and measure entanglement, various approaches such as concurrence for bipartite systems and tangle for three-qubit entangled systems have been developed. In this regard, researchers have endeavored to design algorithms capable of directly measuring these parameters to enhance efficiency and feasibility in computation. This topic has garnered significant attention due to its importance in the experimental implementation of desired quantum computations. While theoretical proposals are respected and have generated many unique ideas, experimental implementation can provide invaluable insights. To achieve this goal, IBM quantum platforms, available in cloud form, serve as unique testbeds for scrutinizing theoretical algorithms performed on these devices, which simulate artificial atoms using different technologies like low-capacitance Josephson junctions. In this paper, we propose a new algorithm capable of directly measuring the three-tangle in tripartite GHZ states. To assess the reliability of our algorithm, we ran experiments by executing the circuit on three IBM backends featuring 127 qubits, deliberately selecting qubits with the lowest readout error. Despite the NISQ nature of the IBM quantum platforms, the results indicate the precision of our proposed protocol. This research introduces a valuable protocol, alongside its experimental proof, to measure three-tangle without using tomography and intensive numerical optimization methods to calculate three-tangle.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963155","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":"Heisenberg-limited Kerr phase estimation with coherent and squeezed vacuum states","authors":"Jian-Dong Zhang, Lili Hou, Shuai Wang","doi":"10.1007/s11128-025-04644-6","DOIUrl":"10.1007/s11128-025-04644-6","url":null,"abstract":"<div><p>Two-path interferometry with coherent and squeezed vacuum states is a feasible approach for estimating linear phase shifts. In view of excellent performance demonstrated previously, it is expected to be applied to the next generation of gravitational wave detection. In this paper, we extend this configuration to nonlinear Kerr phase estimation. We analytically investigate the phase sensitivity and the optimal input ratio of such states. It is shown that the optimal phase sensitivity surpasses the Kerr-type Heisenberg limit by a factor greater than 2. We also study the effects of photon losses on the phase sensitivity. The phase sensitivity can outperform the shot-noise limit when the lossy rate is less than 2/3. It turns out that our scheme has the advantages of high precision and strong loss tolerance.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142941086","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}
Fadwa Benabdallah, M. Y. Abd-Rabbou, Mohammed Daoud, Saeed Haddadi
{"title":"Quantum information resources in spin-1 Heisenberg dimer systems","authors":"Fadwa Benabdallah, M. Y. Abd-Rabbou, Mohammed Daoud, Saeed Haddadi","doi":"10.1007/s11128-024-04631-3","DOIUrl":"10.1007/s11128-024-04631-3","url":null,"abstract":"<div><p>We explore the quantum information resources within bipartite pure and mixed states of the quantum spin-1 Heisenberg dimer system, considering some interesting factors such as the <span>(l_{1})</span>-norm of quantum coherence, relative coherence, negativity, and steering, influenced by the magnetic field and uniaxial single-ion anisotropy. Through a thorough investigation, we derive the system’s density operator at thermal equilibrium and establish a mathematical framework for analyzing quantum resource metrics. Our results unveil the system’s behavior at absolute zero temperature. We further observe temperature’s role in transitioning the system toward classical states, impacting coherence, entanglement, and steering differently. Notably, we find that increasing the exchange anisotropy parameter can reinforce quantum correlations, while adjusting the uniaxial single-ion anisotropy influences the system’s quantumness, particularly when it is positive. Some recommendations to maximize quantum coherence, entanglement, and steering involve temperature reduction, increasing the exchange anisotropy parameter and carefully managing the magnetic field and uniaxial single-ion anisotropy parameter, highlighting the intricate interplay between these factors in maintaining the system’s quantum properties.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939418","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":"Sharing tripartite nonlocality sequentially using only projective measurements","authors":"Yiyang Xu, Hao Sun, Fenzhuo Guo, Haifeng Dong, Qiaoyan Wen","doi":"10.1007/s11128-024-04638-w","DOIUrl":"10.1007/s11128-024-04638-w","url":null,"abstract":"<div><p>Bell nonlocality is a valuable resource in quantum information processing tasks. Scientists are interested in whether a single entangled state can generate a long sequence of nonlocal correlations. Previous work has accomplished sequential tripartite nonlocality sharing through unsharp measurements. In this paper, we investigate the sharing of tripartite nonlocality using only projective measurements and sharing classical randomness. For the generalized GHZ state, we have demonstrated that using unbiased measurement choices, two Charlies can share the standard tripartite nonlocality with a single Alice and a single Bob, while at most one Charlie can share the genuine tripartite nonlocality with a single Alice and a single Bob. However, with biased measurement choices, the number of Charlies sharing the genuine tripartite nonlocality can be increased to two. Nonetheless, we find that using biased measurements does not increase the number of sequential observers sharing the standard tripartite nonlocality. Moreover, we provide the feasible range of double violation for the parameters of the measurement combination probability with respect to the state.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939416","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}