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Measurement-free mediated semi-quantum key distribution protocol based on single-particle states 基于单粒子状态的免测量介导半量子密钥分发协议
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-05-01 DOI: 10.1088/1612-202x/ad3f96
Shun Zhou, Qi-Ming Xie and Nan-Run Zhou
{"title":"Measurement-free mediated semi-quantum key distribution protocol based on single-particle states","authors":"Shun Zhou, Qi-Ming Xie and Nan-Run Zhou","doi":"10.1088/1612-202x/ad3f96","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3f96","url":null,"abstract":"A novel measurement-free mediated semi-quantum key distribution (MSQKD) protocol is proposed based on single-particle states. It enables two classical users to establish a secret key with the assistance of a third party. This protocol simplifies the third party’s role to solely generating qubits in X-basis and conducting Bell measurements. A distinctive feature of this protocol is the efficient grouping and reordering of qubits by the classical users with a minimum of three delay lines. Security analyses demonstrate that the protocol can withstand various attack strategies, including collective attack, measurement attack, fake state attack, and modification attack. The noise tolerance is given by deriving a lower bound of the protocol’s key rate in the asymptotic scenario. Simulations on the IBM Quantum Experience platform are conducted to illustrate the feasibility of this protocol. Compared with existing MSQKD protocols, the proposed protocol consumes fewer quantum resources and achieves a qubit efficiency of 1/8.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"8 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140836886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
A multi-mode free-space delay interferometer with no refractive compensation elements for phase-encoded QKD protocols 用于相位编码 QKD 协议的无折射补偿元件多模自由空间延迟干涉仪
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-04-28 DOI: 10.1088/1612-202x/ad3a56
V V Tretiakov, K S Kravtsov, A N Klimov and S P Kulik
{"title":"A multi-mode free-space delay interferometer with no refractive compensation elements for phase-encoded QKD protocols","authors":"V V Tretiakov, K S Kravtsov, A N Klimov and S P Kulik","doi":"10.1088/1612-202x/ad3a56","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3a56","url":null,"abstract":"We demonstrate a compensation-free approach to the realization of multi-mode delay interferometers, mainly for use in phase-encoded quantum key distribution (QKD). High interference visibility of spatially multi-mode beams in unbalanced Michelson or Mach–Zehnder interferometers with a relatively wide range of delays is achieved by the appropriate choice of the transverse size of the beam. We provide a simple theoretical model that gives a direct connection between the visibility of interference, the delay and the beam parameters. The performed experimental study confirms our theoretical findings and demonstrates measured visibility of up to 0.95 for a delay of 2 ns. Our approach’s simplicity and robust performance make it a practical choice for the implementation of QKD systems, where a quantum signal is received over a multi-mode fiber. The important application of such a configuration is an intermodal QKD system, where the free-space atmospheric communication channel is coupled into a span of the multi-mode fiber, delivering the spatially distorted beam to the remote receiver with minimal coupling loss.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"106 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140811998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
High fidelity Not gate on superconduting phase qubit 超冷凝相位比特上的高保真非门
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-04-17 DOI: 10.1088/1612-202x/ad3cc2
Bin-Hao Mao, Bo Gong, Chun-Liu Zhao, Tao Tu
{"title":"High fidelity Not gate on superconduting phase qubit","authors":"Bin-Hao Mao, Bo Gong, Chun-Liu Zhao, Tao Tu","doi":"10.1088/1612-202x/ad3cc2","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3cc2","url":null,"abstract":"NOT gate is one of the basic units in quantum computing. While it suffers from the noise during the complex operation. In this paper, we simulate the NOT gate on the superconducting phase qubit and solve the noise problem by maximizing the impact of noise cancellation. We first extract the noise term from the Hamiltonian and reset it to zero. Then we give two kinds of pulses based on the non-noise term for the quantum gate. By using these pulses, the fidelity would be improved and benefit quantum computing.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"13 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140615251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Using Schrödinger cat quantum state for detection of a given phase shift 利用薛定谔猫量子态探测给定相移
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-04-16 DOI: 10.1088/1612-202x/ad3a59
V L Gorshenin
{"title":"Using Schrödinger cat quantum state for detection of a given phase shift","authors":"V L Gorshenin","doi":"10.1088/1612-202x/ad3a59","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3a59","url":null,"abstract":"We show that injecting a light pulse prepared in the Shrödinger cat quantum state into the dark port of a two-arm interferometer, it is possible to detect a given phase shift unambiguously. The value of this phase shift is inversely proportional to the amplitudes of both the classical carrier light and the Shrödinger cat state. However, an unconventional detection procedure is required for this purpose. By measuring the number of photons at the output dark port, it is possible to detect the phase shift with a vanishing ‘false positive’ probability. The ‘false negative’ probability in this case decreases as the amplitude of the Schrödinger cat state increases and, for reasonable values of this amplitude, can be made less than about 0.1.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"181 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140615419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Direct nanosecond laser metallization of AlN ceramics 纳秒激光直接金属化氮化铝陶瓷
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-04-10 DOI: 10.1088/1612-202x/ad3816
A A Sviridova, A S Shchekin, V N Petrovskiy, A A Ivanov, M M Berdnikova
{"title":"Direct nanosecond laser metallization of AlN ceramics","authors":"A A Sviridova, A S Shchekin, V N Petrovskiy, A A Ivanov, M M Berdnikova","doi":"10.1088/1612-202x/ad3816","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3816","url":null,"abstract":"In this paper, a study of the influence of laser processing parameters with pulsed nanosecond laser radiation on the degree of metallization and the quality of the metallized surface of aluminum nitride ceramics is presented. Experiments were carried out to create conductive structures with the lowest resistance using direct laser metallization. The dependences of resistance on duration, pulse overlap, and laser fluence were obtained and analyzed, and changes in surface roughness were considered. In addition, the composition of the surface of laser-metallized ceramics was studied using energy-dispersive x-ray spectroscopy. As a result, it was shown that the resistance is inversely proportional to the square root of the pulse duration, the thermal diffusion length was estimated as <italic toggle=\"yes\">l<sub>T</sub>\u0000</italic> = 8.2 <italic toggle=\"yes\">μ</italic>m for 200 ns and <italic toggle=\"yes\">l<sub>T</sub>\u0000</italic> = 1.2 <italic toggle=\"yes\">μ</italic>m for 4 ns, and the presence of optimal values of pulse overlap <italic toggle=\"yes\">Oy</italic> (scanning direction) equal to 50% and pulse overlap <italic toggle=\"yes\">Ox</italic> (step direction) equal to 96% and 99.7% for pulse durations of 200 and 4 ns, respectively, was determined. The choice of optimal pulse overlaps with the highest laser fluence allowed us to obtain the minimum resistance value with maximum performance.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"8 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140615209","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Biological material spider silk by direct incorporation onto fiber ferrule for wavelength tunable Q-switched application 将生物材料蜘蛛丝直接加入光纤套圈,实现波长可调的 Q 开关应用
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-04-10 DOI: 10.1088/1612-202x/ad3a55
N A M Muhammad, N A Awang, H Basri, N U H H Zalkepali, M I Supaat
{"title":"Biological material spider silk by direct incorporation onto fiber ferrule for wavelength tunable Q-switched application","authors":"N A M Muhammad, N A Awang, H Basri, N U H H Zalkepali, M I Supaat","doi":"10.1088/1612-202x/ad3a55","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3a55","url":null,"abstract":"This study presents a novel structure saturable absorber (SSA) based on spider silk for wavelength tunable Q-switched erbium-doped fiber laser (EDFL) operation from S to L bands. The nonlinear optical absorption of spider silk was measured, showing a high modulation depth of 64.92%, a low saturation intensity of 0.03 MW cm<sup>−2</sup>, and a non-saturable loss of 24%. By adjusting the polarization controller, a wavelength tunable Q-switched EDFL was achieved, with a tuning range of 64 nm from 1522 nm to 1586 nm. The Q-switched pulses had a repetition rate varying from 20.62 kHz to 6.57 kHz and a pulse width ranging from 14.02 <italic toggle=\"yes\">μ</italic>s to 26.30 <italic toggle=\"yes\">μ</italic>s, corresponding to an output power from −11.31 dBm to −9.02 dBm at the maximum pump power of 151.40 mW. The proposed SSA using spider silk offers a low-cost, eco-friendly, and high-performance solution for wide wavelength tunable Q-switched EDFL applications in optical testing, fiber communication, optical fiber sensing, and ultrafast lasers.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"15 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140615187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Novel semi-quantum private comparison protocol with Bell states 具有贝尔态的新型半量子私密比较协议
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-04-10 DOI: 10.1088/1612-202x/ad3a54
Li-Hua Gong, Mao-Long Li, Hao Cao, Bing Wang
{"title":"Novel semi-quantum private comparison protocol with Bell states","authors":"Li-Hua Gong, Mao-Long Li, Hao Cao, Bing Wang","doi":"10.1088/1612-202x/ad3a54","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3a54","url":null,"abstract":"Based on Bell states, a new semi-quantum private comparison protocol is proposed that enables two classical users to securely compare the equality of their private information with the aid of a semi-honest third party. Different from the existing semi-quantum private comparison protocols, the two classical participants in the presented protocol do not need to measure and prepare any quantum state, which not only reduces the consumption of quantum devices, but also greatly improves the feasibility of the protocol. Performing different unitary operations on the received particles, classical users can securely compare their secret information. Besides, the devised protocol has higher qubit efficiency than the other similar counterparts, since participants can compare a two-bit privacy each time with one qubit. Meanwhile, after completing the comparison process, all Bell states could be reused since they still retain the corresponding entanglement property, which greatly facilitates the recycle of quantum resources. Security analyses indicate that the designed scheme is secure against external attack and internal attack. Moreover, the operations involved in our scheme are simulated on the IBM Quantum Experience to demonstrate the effectiveness and security of our scheme.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"97 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140615204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Noise-like pulse generation by amplified well-defined pulse in an optical fiber with negative group velocity dispersion 在具有负群速度色散的光纤中通过放大的清晰脉冲产生类噪声脉冲
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-04-10 DOI: 10.1088/1612-202x/ad3a57
Kuan-Yuan Chang, Jia-Ming Liu
{"title":"Noise-like pulse generation by amplified well-defined pulse in an optical fiber with negative group velocity dispersion","authors":"Kuan-Yuan Chang, Jia-Ming Liu","doi":"10.1088/1612-202x/ad3a57","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3a57","url":null,"abstract":"We experimentally and numerically demonstrate that noise-like pulses (NLPs) can be generated by pumping well-defined pulses (WDPs) into an optical fiber amplifier at a wavelength in the region of negative group velocity dispersion. Through investigating the evolution of the optical pulses, it is realized that the output pulses consist of NLPs at the pump wavelength and split solitons at Stokes wavelengths, due to intrapulse Raman scattering followed by the process of soliton fission. Such process of pulse breakup results in the generation of sub-pulses that have peak powers much higher than the unbroken WDPs have, enabling WDPs to strongly induce nonlinear effects. This finding resolves the discrepancy between the experiment and simulation results of supercontinuum generation by using picosecond WDPs in previous research.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"41 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140617820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Control of quantum paths in harmonic generation through orthogonal fields specific frequency ratios 通过正交场特定频率比控制谐波产生中的量子路径
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-04-10 DOI: 10.1088/1612-202x/ad3a53
Junjie Wang, Hongye Xu, Xinlei Ge
{"title":"Control of quantum paths in harmonic generation through orthogonal fields specific frequency ratios","authors":"Junjie Wang, Hongye Xu, Xinlei Ge","doi":"10.1088/1612-202x/ad3a53","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3a53","url":null,"abstract":"By solving a two-dimensional, time-dependent Schrödinger equation, we investigate high-order harmonic generation for the <inline-formula>\u0000<tex-math><?CDATA $ H_2^+ $?></tex-math>\u0000<mml:math overflow=\"scroll\"><mml:mrow><mml:msubsup><mml:mi>H</mml:mi><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math>\u0000<inline-graphic xlink:href=\"lplad3a53ieqn1.gif\" xlink:type=\"simple\"></inline-graphic>\u0000</inline-formula> molecular ion in orthogonally polarized two-color laser pulses. We find that harmonic generation depends on the frequency ratio <inline-formula>\u0000<tex-math><?CDATA $ n = frac{omega_y}{omega_x} $?></tex-math>\u0000<mml:math overflow=\"scroll\"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:msub><mml:mi>ω</mml:mi><mml:mi>y</mml:mi></mml:msub><mml:msub><mml:mi>ω</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mfrac></mml:mrow></mml:math>\u0000<inline-graphic xlink:href=\"lplad3a53ieqn2.gif\" xlink:type=\"simple\"></inline-graphic>\u0000</inline-formula>. When the wavelength is 800 nm and <italic toggle=\"yes\">n</italic> = 1.2, the harmonic plateau becomes smoother, and the quantum orbital interference decreases. We change the fundamental wavelength and find that the harmonic spectrum exhibits a supercontinuum structure, and the quantum orbital is controllable. When the wavelength is 1600 nm and 2000 nm, and <italic toggle=\"yes\">n</italic> = 1.2, we gain a deeper understanding of the physical process of harmonics. We have provided the time-frequency distribution and the probability density of an electron wave packet picture. Next, we analyzed the impact of the carrier-envelope phase on harmonics, and we combined Lissajous figures to continue our analysis. The research results find that when the carrier-envelope phase is 0, 0.5<italic toggle=\"yes\">π</italic>, <italic toggle=\"yes\">π</italic>, and 1.5<italic toggle=\"yes\">π</italic>, the harmonic intensity becomes higher, and all exhibit a supercontinuum structure. We chose certain orders of harmonics, and isolated attosecond pulses can be synthesized.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"55 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140615421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
Quantum nonlocality without entanglement in a 2n-partite system 2n-partite 系统中无纠缠的量子非局域性
IF 1.7 4区 物理与天体物理
Laser Physics Letters Pub Date : 2024-04-04 DOI: 10.1088/1612-202x/ad3817
Meng-Ya Dong, Su-Juan Zhang, Chen-Ming Bai, Lu Liu
{"title":"Quantum nonlocality without entanglement in a 2n-partite system","authors":"Meng-Ya Dong, Su-Juan Zhang, Chen-Ming Bai, Lu Liu","doi":"10.1088/1612-202x/ad3817","DOIUrl":"https://doi.org/10.1088/1612-202x/ad3817","url":null,"abstract":"In recent years, researchers focused their attention on the construction of nonlocal product states in multipartite quantum systems. This paper proposes a novel partitioning method for multipartite quantum systems, aiming to improve the operation efficiency. Firstly, we divide 2<italic toggle=\"yes\">n</italic> subsystems into <italic toggle=\"yes\">n</italic> parts two by two and implement orthogonality-preserving local measurement on the partitioned composite systems. Subsequently, based on the partitioning mode, nonlocal orthogonal product states in <inline-formula>\u0000<tex-math><?CDATA $ (mathbb{C}^{3})^{otimes 6 }$?></tex-math>\u0000<mml:math overflow=\"scroll\"><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mo>⊗</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>\u0000<inline-graphic xlink:href=\"lplad3817ieqn1.gif\" xlink:type=\"simple\"></inline-graphic>\u0000</inline-formula> and <inline-formula>\u0000<tex-math><?CDATA $(mathbb{C}^{4})^{otimes 6 }$?></tex-math>\u0000<mml:math overflow=\"scroll\"><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mo>⊗</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>\u0000<inline-graphic xlink:href=\"lplad3817ieqn2.gif\" xlink:type=\"simple\"></inline-graphic>\u0000</inline-formula> are given. Finally, we construct nonlocal orthogonal product states in <inline-formula>\u0000<tex-math><?CDATA $(mathbb{C}^{d})^{otimes 2n}$?></tex-math>\u0000<mml:math overflow=\"scroll\"><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup><mml:msup><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mo>⊗</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>\u0000<inline-graphic xlink:href=\"lplad3817ieqn3.gif\" xlink:type=\"simple\"></inline-graphic>\u0000</inline-formula> and discuss the cases where <italic toggle=\"yes\">d</italic> is odd and even. Our results demonstrate the phenomenon of nonlocality without entanglement in a 2<italic toggle=\"yes\">n</italic>-partite system.","PeriodicalId":17940,"journal":{"name":"Laser Physics Letters","volume":"50 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140595640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}
引用次数: 0
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