Abstract:The spin degree of freedom of an electron or a nucleus is one of the most basic properties of nature and functions as an excellent qubit, as it provides a natural two-level system that is insensitive to electric fields, leading to long quantum coherence times. This coherence survives when the spin is isolated and controlled within nanometer-scale, lithographically fabricated semiconductor devices, enabling the existing microelectronics industry to help advance spin qubits into a scalable technology. Driven by … Show more
“…We should emphasize such parametrization is only valid in the setup considered here, where the kinetic effect (i.e. interdot tunneling) is the dominant contribution to the exchange [8]. Finally, we note that these parameters are easily accessibile to experimental control by the changing the magnetic field angle and the effective SOI coupling strength of the device.…”
We study the implications of spin-orbit interaction (SOI) for two-qubit gates (TQGs) in semiconductor spin qubit platforms. SOI renders the exchange interaction governing qubit pairs anisotropic, posing a serious challenge for conventional TQGs derived for the isotropic Heisenberg exchange. Starting from microscopic level, we develop a concise computational Hamiltonian that captures the essence of SOI, and use it to derive properties of the rotating-frame time evolutions. Two key findings are made. First, for the controlled-phase/controlled-Z gate, we show and analytically prove the existence of ``SOI nodes'' where the fidelity can be optimally enhanced, with only slight modifications in terms of gate time and local phase corrections. Second, we discover and discuss novel two-qubit dynamics that are inaccessible without SOI---the reflection gate and the direct controlled-not gate. The relevant conditions and achievable fidelities are explicitly derived for the direct controlled-not gate.
“…We should emphasize such parametrization is only valid in the setup considered here, where the kinetic effect (i.e. interdot tunneling) is the dominant contribution to the exchange [8]. Finally, we note that these parameters are easily accessibile to experimental control by the changing the magnetic field angle and the effective SOI coupling strength of the device.…”
We study the implications of spin-orbit interaction (SOI) for two-qubit gates (TQGs) in semiconductor spin qubit platforms. SOI renders the exchange interaction governing qubit pairs anisotropic, posing a serious challenge for conventional TQGs derived for the isotropic Heisenberg exchange. Starting from microscopic level, we develop a concise computational Hamiltonian that captures the essence of SOI, and use it to derive properties of the rotating-frame time evolutions. Two key findings are made. First, for the controlled-phase/controlled-Z gate, we show and analytically prove the existence of ``SOI nodes'' where the fidelity can be optimally enhanced, with only slight modifications in terms of gate time and local phase corrections. Second, we discover and discuss novel two-qubit dynamics that are inaccessible without SOI---the reflection gate and the direct controlled-not gate. The relevant conditions and achievable fidelities are explicitly derived for the direct controlled-not gate.
“…b Extrapolated to the infinite supercell limit based on the calculations on C 62 N and C 214 N supercells (see Table S3). c Not directly measured; obtained from the measured ZPL/VEE's of 3 A 2 â 3 E and 1 A 1 â 1 E and the energy difference between states 3 E and 1 A 1 (see ref 21). order of a hundred millielectronvolts) due to quantum vibronic effects of the ground state.…”
mentioning
confidence: 99%
“…Spin defects in semiconductors have the potential to allow the realization of quantum technologies working near room temperature . Various applications have been suggested in the literature, including quantum sensing, , quantum communication, and quantum computing. , However, despite rapid experimental and theoretical progress in the past decade, challenges remain in controlling and increasing the coherence time of spin qubits, which is ultimately limited by quantum vibronic effects (electronâphonon interactions) .…”
We investigated the impact of quantum vibronic coupling
on the
electronic properties of solid-state spin defects using stochastic
methods and first-principles molecular dynamics with a quantum thermostat.
Focusing on the negatively charged nitrogen-vacancy center in diamond
as an exemplary case, we found a significant dynamic JahnâTeller
splitting of the doubly degenerate single-particle levels within the
diamondâs band gap, even at 0 K, with a magnitude exceeding
180 meV. This pronounced splitting leads to substantial renormalizations
of these levels and, subsequently, of the vertical excitation energies
of the doubly degenerate singlet and triplet excited states. Our findings
underscore the pressing need to incorporate quantum vibronic effects
into first-principles calculations, particularly when comparing computed
vertical excitation energies with experimental data. Our study also
reveals the efficiency of stochastic thermal line sampling for studying
phonon renormalizations of solid-state spin defects.
“…A crucial issue of quantum information theory is the quantification of the similarity between two quantum states. , Although the role of interaction mechanisms between superposition states in quantum computational speedup is not yet clear, these mechanisms indubitably play a crucial role in the development of quantum computing, particularly in various quantum-spin systems. â In the past couple of years, efforts have been vigorously made to delve into ultrafast spin operations on multiqubits and their potential contributions to quantum computations. â In order to build actual logic processing units, one must not only discover and functionalize spin-operations on quantum dots (QDs) but also integrate them into magnetic heterostructures. In this respect many mechanisms and a large variety of systems have been proposed. â Among them, molecular systems are expected to miniaturize the envisaged magnetic-logic elements, â since they can accommodate Boolean logic processes, while some logic operations have been proposed on the basis of realistic or even synthesized quantum dots. â Moreover, the development of compact out-of-plane focusing grating couplers for integration with magnetoresistive random access memory technology makes the all-optical spin manipulation even more suitable in spintronics devices .…”
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