Figure - available from: Journal of Physics B Atomic Molecular and Optical Physics
This content is subject to copyright. Terms and conditions apply.
Magnetic dipole–dipole interaction in a situation that the centers of two magnetic dipoles lie on the laboratory z-axis and their distance is d. If qubits consist of two highest magnetc quantum number states, the direction of magnetic dipole moment is well directed along the z-axis.
Source publication
In quantum information processing, one of the most useful interactions between qubits is the Ising type interaction. We propose a scheme to implement the exact Ising interaction through magnetic dipole–dipole interaction. Although magnetic dipolar interaction is Heisenberg type in general, this interaction can bring about the exact mathematical for...
Similar publications
Reliable quantum information processing in the face of errors is a major
fundamental and technological challenge. Quantum error correction protects
quantum states by encoding a logical quantum bit (qubit) in multiple physical
qubits, so that errors can be detected without affecting the encoded state. To
be compatible with universal fault-tolerant c...
We analyze radiative processes of a quantum system composed by two identical
two-level atoms interacting with a massless scalar field prepared in the vacuum
state in the presence of perfect reflecting flat boundaries. We consider that
the atoms are prepared in a stationary maximally entangled state. We
investigate the spontaneous transition rates f...
A hybrid system that combines the advantages of a superconducting flux qubit
and an electron spin ensemble in diamond is one of the promising devices to
realize quantum information processing. Exploring the properties of the
superconductor diamond system is essential for the efficient use of this
device. When we perform spectroscopy of this system,...
Quantum sensors based on single solid-state spins promise a unique
combination of sensitivity and spatial resolution. The key challenge in sensing
is to achieve minimum estimation uncertainty within a given time and with a
high dynamic range. Adaptive strategies have been proposed to achieve optimal
performance but their implementation in solid-sta...
This paper, for the first time, addresses the questions related to the connections between the quantum pseudorandomness and quantum hardware assumptions, specifically quantum physical unclonable functions (qPUFs). Our results show that the efficient pseudorandom quantum states (PRS) are sufficient to construct the challenge set for the universally...
Citations
... The characteristics mentioned earlier can be manifested in various solid-state spin systems, such as systems with quantum spin-1/2 (Furman et al. 2011;Zhang 2007;Ozaydin andAltintas 2015, 2020;Ozaydin et al. 2021;Ben hammou et al. 2023), and higher spins Pandey 2014, 2016), in quantum thermodynamics (Upadhyay et al. 2021), in quantum game theory (Ozaydin 2020), the molecular rotation states (Yun et al. 2015), and nitrogen-vacancy centers in diamond (Dolde et al. 2013;Choi et al. 2019). Studies have shown that in the event of a dipole spin interaction and a two-photon resonance occurring between two qubits and a coherent cavity field, the dipolar interaction has the potential to enhance the system's ability to withstand inherent decoherence and preserve more robust correlations (Da Hu et al. 2015;Khan and Jan 2016). ...
This paper studies the dynamics of correlations and quantum dense coding in a dipolar interacting system under the Dzyaloshinskii–Moriya interaction. We investigate the dynamics of entangled states, concurrence, and local quantum uncertainty to quantify the correlations of two-spin-1/2 particles coupled with dipolar spin interaction. We compare the dynamics of local quantum uncertainty and concurrence. The results show that local quantum uncertainty declines less than concurrence due to the nature of the interactions between the quantum components within the system. In addition, we show that local quantum uncertainty and concurrence for smaller times depend only on the probability amplitude causing the sudden reappearance of the entanglement phenomenon. However, a weak DM interaction and an axial parameter can markedly improve quantum correlations. Finally, the dense coding capacity is always optimal, allowing the system to act as a proper quantum channel for quantum information transfer in time.
... Here, we considered studying the dynamics of quantum correlation quantified by EPR steering, MIN and entanglement by taking dipolar-coupled spin systems under intrinsic decoherence and in the influence of a DM interaction. The dipolar spin system is useful in realizing and understanding various quantum phenomenon in solid-state systems such as nitrogenvacancy centers in diamond [27,28], quantum spin systems [29,30] and rotational states of molecules [31]. Recently, it was predicted that other correlations beyond entanglement could endure decoherence [32][33][34][35][36]. ...
The quantum decoherence is an ineluctable process when a quantum system interacts with its surrounding environment. Milburn’s dynamical master equation, as a modified shape of the Schrödinger equation, is typically used to study the effects decoherence even without intervention of environment. We studied the temporal evolution of non-local correlations in a dipolar-coupled spin system under the influence of intrinsic decoherence. Primarily, the generation in correlations of Einstein–Podolsky–Rosen steering, measurement-induced non-locality and entanglement in an uncorrelated initial system state were studied. Also, the effect of the intrinsic decoherence on the quality of the dense coding capacity dynamics for the dipolar-coupled spin system was examined. Our results highlight that the initial system’s role in defining the quantum correlations’ robustness, and we also brought out the impacts of system’s parameters on the non-local correlations and the efficiency of dense coding process.
... The dipolar spin system, which can generate a substantial number of qubits, maintain their coherence for a long period of time, and adjust their magnetic properties electronically, is one of the potential prototypes for studying a variety of quantum phenomena. These characteristics can be achieved through numerous solid-state spin systems, including quantum spin systems [36,37], rotational-states of molecular ions, hyperfine states of atoms [38] and nitrogen vacancy-centers in diamond [39,40]. The dipolar spin system can be manipulated to create quantum gates [41] and it may constitute a valuable quantum channel in quantum communication [42]. ...
Bipolar spin systems are expected to provide a reliable and scalable platform for advances in quantum computing and nanotechnology. Thus, the survey of the dynamics of the quantum properties of such systems is of paramount importance. This work explores the dynamics of bipartite entanglement and nonclassical correlations in a dipole-dipole two spin system with Dzyaloshinsky-Moriya (DM) interaction and under the influence of the intrinsic decoherence effects. We employ logarithmic negativity to quantify quantum entanglement. Local quantum uncertainty and quantum discord are employed to capture non-classical correlations beyond entanglement in the considered system. For this purpose, we consider that the system is initially prepared in a Werner state and we explore the effect of intrinsic decoherence rate, dipolar coupling parameters between the spins, strength of the Dzyaloshinsky-Moriya interaction and the intensities of the homogeneous magnetic fields on the dynamics of the three quantifiers of correlations within the considered system. The findings reveal that intrinsic decoherence deteriorates quantum correlations, while the dipolar coupling constant diminishes the oscillatory behavior observed but enhances the robustness of bipartite entanglement and nonclassical correlations. The negative effects of the intrinsic decoherence on the quantum correlations can be mitigated by adjusting the values of the system’s parameters as well as the Dzyaloshinsky-Moriya coupling parameter. We also show that the three studied measures behave quasi-similarly. Finally, we depict that the amounts of entanglement and nonclassical correlations within the system are closely tied to the system’s degree of purity.
... Here, we considered studying the dynamics of quantum correlation quantified by EPR steering, MIN and entanglement by taking dipolar-coupled spin systems under intrinsic decoherence and in the influence of a DM interaction. The dipolar spin system is useful in realizing and understanding various quantum phenomenon in solid-state systems such as nitrogen-vacancy centers in diamond [27,28], quantum spin systems [29,30] and rotational states of molecules [31]. Recently, it was predicted that other correlations beyond entanglement could endure decoherence [32][33][34][35][36]. ...
The quantum decoherence is an ineluctable process when a quantum system interacts with its surrounding environment. Milburn’s dynamical master equation, as a modified shape of the Schrödinger equation, is typically used to study the effects decoherence even without intervention of environment. We studied the temporal evolution of non-local correlations in a dipolar-coupled spin system under the influence of intrinsic decoherence. Primarily, the generation in correlations of Einstein–Podolsky–Rosen steering, measurement-induced non-locality (MIN) and entanglement in an uncorrelated initial system state were studied. Also, the effect of the intrinsic decoherence on the quality of the dense coding capacity dynamics for the dipolar-coupled spin system was examined. Our results highlight that the initial system’s role in defining the quantum correlations’ robustness, and we also brought out the impacts of system’s parameters on the non-local correlations and the efficiency of dense coding process
... The spin dipolar system is one of the promising prototypes of understanding the several phenomena in quantum systems, due to its ability to produce a sufficient number of qubits, their coherence for a long time, and the fine-tuning of their magnetic properties electronically. These aforementioned properties can be realized in many solid-state spin systems as quantum spin systems [42,43], rotational-states of molecules [44] and nitrogen vacancy-centers in diamond [45,46]. It has been demonstrated that, for dipolar spin interaction and 2-photon resonance between two qubits and a coherent cavity field, the dipolar interaction could contribute to resilience toward intrinsic decoherence and maintain a stronger correlations [47][48][49][50][51]. ...
In the thermodynamic equilibrium of dipolar-coupled spin systems under the influence of a Dzyaloshinskii–Moriya (D–M) interaction along the z-axis, the current study explores the quantum-memory-assisted entropic uncertainty relation (QMA-EUR), entropy mixedness and the concurrence two-spin entanglement. Quantum entanglement is reduced at increased temperature values, but inflation uncertainty and mixedness are enhanced. The considered quantum effects are stabilized to their stationary values at high temperatures. The two-spin entanglement is entirely repressed if the D–M interaction is disregarded, and the entropic uncertainty and entropy mixedness reach their maximum values for equal coupling rates. Rather than the concurrence, the entropy mixedness can be a proper indicator of the nature of the entropic uncertainty. The effect of model parameters (D–M coupling and dipole–dipole spin) on the quantum dynamic effects in thermal environment temperature is explored. The results reveal that the model parameters cause significant variations in the predicted QMA-EUR.
... The dynamic behavior of entanglement and of others quantum correlations has been investigated too [9][10][11][12][13]. Besides, the MDI was used to simulate spin systems [14] and to obtain an Ising interaction [15] from which CNOT gates (an essential ingredient for universal quantum computation [16]) can be implemented. Due to the creation of quantum correlations between system and environment [17,18], which leads to the classicality of the first, the MDI is the source of noise in several physical systems [19][20][21][22][23][24][25]. ...
We consider two qubits prepared in a product state and evolved under the magnetic dipolar interaction (MDI). We describe the dependence of the entanglement generated by the MDI with time, with the interaction parameters, and with the system’s initial state, identifying the symmetry and coherence aspects of those initial configurations that yield the maximal entanglement. We also show how one can obtain maximum entanglement from the MDI applied to some families of partially entangled initial states.
... We then discuss a more involved strategy for the case of exchange interaction ξ = . V s s 4 dd z z int ( ) 1 2 also referred to as the Ising interaction [49][50][51] . ...
We put forward reverse engineering protocols to shape in time the components of the magnetic field to manipulate a single spin, two independent spins with different gyromagnetic factors, and two interacting spins in short amount of times. We also use these techniques to setup protocols robust against the exact knowledge of the gyromagnetic factors for the one spin problem, or to generate entangled states for two or more spins coupled by dipole-dipole interactions.
We investigate the asymmetry properties of quantum states in relation to the Hamiltonian responsible for the magnetic dipolar interaction (MDI) dynamics, and we evaluate its relationship to entanglement production. We consider some classes of pure and mixed quantum states of two qubits evolved under MDI and, using the asymmetry measure defined via the Wigner–Yanase skew information, we describe the asymmetry dependence on the Hamiltonian parameters and initial conditions of the system. In addition, we define and calculate the dynamics of the asymmetry of local states, characterizing their temporal and interaction parameters dependence. Finally, because the MDI Hamiltonian has a null eigenvalue, the group generator-based asymmetry measure does not adequately quantify the state susceptibility with respect to the action of the subspace generated by the eigenvectors associated with this eigenvalue. For this reason, we also define and study the group element-based asymmetry measure with relation to the unitary operator associated with the MDI Hamiltonian.
The Kraus form of the completely positive dynamical maps is appealing from the mathematical and the point of the diverse applications of the open quantum systems theory. Unfortunately, the Kraus operators are poorly known for the two-qubit processes. In this paper, we derive the Kraus operators for a pair of interacting qubit, while the strength of the interaction is arbitrary. One of the qubits is subjected to the x-projection spin measurement. The obtained results are applied to calculate the dynamics of the initial entanglement in the qubits system. We obtain the loss of the correlations in the finite time interval; the stronger the inter-qubit interaction, the longer lasting entanglement in the system.
