{"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}
{"title":"Optimal local filtering operation for enhancing quantum entanglement","authors":"Zhaofeng Su, Nina Sukhodoeva","doi":"10.1007/s11128-024-04643-z","DOIUrl":"10.1007/s11128-024-04643-z","url":null,"abstract":"<div><p>Quantum entanglement is an indispensable resource for many significant quantum information processing tasks. Thus, distilling more entanglement from less entangled resource is a task of practical significance and has been investigated for decades. Local filtering operation is a practical way to enhance quantum entanglement. In this research, we investigate the scenario of bipartite entanglement with general two-qubit resource to find the optimal strategy of filtering operations. We obtain the upper bound for the ratio of entanglement increase and find the corresponding optimal local filtering operation to achieve the maximal ratio. Our analysis shows that the upper bound ratio grows with the length of local Bloch vector, while the success probability decreases with it. Based on our result, we further investigate the performance of considering a general quantum measurement. Our result shows that local measurement cannot increase the expectation of quantum entanglement, which gives analytical evidence to the well-known fact that local operation cannot create quantum entanglement.</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":"142939417","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":"Correction: Convolutional neural network based decoders for surface codes","authors":"Simone Bordoni, Stefano Giagu","doi":"10.1007/s11128-024-04617-1","DOIUrl":"10.1007/s11128-024-04617-1","url":null,"abstract":"","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11128-024-04617-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938893","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":"Research on the correlation between spin–orbit entangled states and the spin–orbit interaction of light","authors":"Jiang-Mei Tang, Shao-Meng Wang, Yu-Bin Gong","doi":"10.1007/s11128-024-04636-y","DOIUrl":"10.1007/s11128-024-04636-y","url":null,"abstract":"<div><p>Two kinds of phenomena with the same essence may be correlative. Exploring this correlation can help us generate new ideas. Light can carry three types of angular momentum: The rotating electromagnetic field with circularly polarized will produce spin angular momentum (SAM); The vortex light with helical wavefronts will carry intrinsic orbital angular momentum (IOAM); Light, not traveling through the coordinate origin, will carry extrinsic orbital angular momentum (EOAM). The interaction between SAM and EOAM will produce a spin Hall effect of light. The interaction between SAM and IOAM will lead to mutual conversion between them. SAM and EOAM, as well as SAM and IOAM, can also form spin–orbit entangled states. Therefore, the spin–orbit interaction and corresponding entangled states of light must have some correlations. This work studied the relationship between the spin Hall effect and the spin–orbit entangled state, and the relationship between the conversion efficiency of spin–orbit angular momentum and the spin–orbit entangled state. This work can provide new enlightenment to the study of entangled states, which can help the cross-disciplinary application of quantum entanglement with other knowledge.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939228","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}
Youssef Khedif, Abdelghani Errehymy, Bouchra Maroufi, Mohammed Daoud
{"title":"Metrology-induced quantum nonlocality","authors":"Youssef Khedif, Abdelghani Errehymy, Bouchra Maroufi, Mohammed Daoud","doi":"10.1007/s11128-024-04639-9","DOIUrl":"10.1007/s11128-024-04639-9","url":null,"abstract":"<div><p>Nonlocality and quantum metrology are two fundamental ingredients in quantum physics. Measuring and characterizing nonlocal quantum correlations existing in any quantum state for the purposes of quantum information processing applications should receive therefore much interest. This work introduces a metrological-based approach for quantifying quantum nonlocality as a form of correlation. The scheme can be executed by exploiting the quantum estimation theory to define metrology-induced quantum nonlocality (MIQN) as the maximal increment of quantum Fisher information. MIQN can be done by acting a local commuting observable on one of the parts of a quantum bipartite probe state to estimate a parameter encoded by a local rotation. For the <span>(2times d)</span>-dimensional mixed states, the closed form of MIQN is evaluated. Furthermore, we proved that the proposed quantifier fulfills all the criteria of a well-defined quantum correlations measure.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938716","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}