Hamiltonian engineering with time-ordered evolution for unitary control
of electron spins in semiconductor quantum dots
- URL: http://arxiv.org/abs/2402.08146v1
- Date: Tue, 13 Feb 2024 00:53:43 GMT
- Title: Hamiltonian engineering with time-ordered evolution for unitary control
of electron spins in semiconductor quantum dots
- Authors: Bohdan Khromets, Zach D. Merino and Jonathan Baugh
- Abstract summary: We present a unitary control pulse design method for a scalable quantum computer architecture based on electron spins in lateral quantum dots.
We employ simultaneous control of spin interactions and derive the functional forms of spin Hamiltonian parameter pulses for a universal set of 1- and 2-qubit logic gates.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present a unitary control pulse design method for a scalable quantum
computer architecture based on electron spins in lateral quantum dots. We
employ simultaneous control of spin interactions and derive the functional
forms of spin Hamiltonian parameter pulses for a universal set of 1- and
2-qubit logic gates. This includes selective spin rotations with the weak local
g-factor variations in the presence of the global oscillating field, and a
Control-Phase operation with the simultaneous control of g-factors and exchange
couplings. We outline how to generalize the control scheme to multiqubit gate
operations and the case of constrained or imperfect control of the Hamiltonian
parameters.
Related papers
- Energy control in a quantum oscillator using coherent control and engineered environment [83.88591755871734]
We develop and analyze a new method for manipulation of energy in a quantum harmonic oscillator using coherent, electromagnetic, field and incoherent control.
An approach to coherent and incoherent controls design based on the speed gradient algorithms is proposed.
A robustified speed-gradient control algorithm in differential form is also proposed.
arXiv Detail & Related papers (2024-03-25T20:44:46Z) - Generation of C-NOT, SWAP, and C-Z Gates for Two Qubits Using Coherent
and Incoherent Controls and Stochastic Optimization [56.47577824219207]
We consider a general form of the dynamics of open quantum systems determined by the Gorini-Kossakowsky-Sudarchhan-Lindblad type master equation.
We analyze the control problems of generating two-qubit C-NOT, SWAP, and C-Z gates using piecewise constant controls and optimization.
arXiv Detail & Related papers (2023-12-09T17:55:47Z) - Universal quantum processors in spin systems via robust local pulse sequences [0.0]
We propose a protocol to realize quantum simulation and computation in spin systems with long-range interactions.
Our approach relies on the local addressing of single spins with external fields parametrized by Walsh functions.
We demonstrate and numerically benchmark our protocol with examples from the dynamics of spin models, quantum error correction and quantum optimization algorithms.
arXiv Detail & Related papers (2023-11-17T15:55:04Z) - Real-time two-axis control of a spin qubit [23.355961895855337]
We demonstrate a real-time control protocol for a two-electron singlet-triplet qubit with two fluctuating Hamiltonian parameters.
Powered by a field-programmable gate array (FPGA), the quantum control electronics estimates the Overhauser field gradient between the two electrons in real time.
arXiv Detail & Related papers (2023-08-03T20:07:00Z) - Control of an environmental spin defect beyond the coherence limit of a central spin [79.16635054977068]
We present a scalable approach to increase the size of electronic-spin registers.
We experimentally realize this approach to demonstrate the detection and coherent control of an unknown electronic spin outside the coherence limit of a central NV.
Our work paves the way for engineering larger quantum spin registers with the potential to advance nanoscale sensing, enable correlated noise spectroscopy for error correction, and facilitate the realization of spin-chain quantum wires for quantum communication.
arXiv Detail & Related papers (2023-06-29T17:55:16Z) - Spatiotemporal control of entangling gates on atomic N-qubit systems [0.0]
We use a novel optimization procedure to prepare gates in N-qubits systems.
The control allows treating a denser array of atoms, where each pulse acts on a subset of the qubits.
We characterize and classify all optimal protocols according to the mechanism of the gate.
arXiv Detail & Related papers (2023-05-10T18:37:55Z) - Optimal State Manipulation for a Two-Qubit System Driven by Coherent and
Incoherent Controls [77.34726150561087]
State preparation is important for optimal control of two-qubit quantum systems.
We exploit two physically different coherent control and optimize the Hilbert-Schmidt target density matrices.
arXiv Detail & Related papers (2023-04-03T10:22:35Z) - Characterization and Coherent Control of Spin Qubits with Modulated
Electron Beam and Resonator [0.0]
coherent dynamics and control of spin qubits are essential requirements for quantum technology.
A prominent challenge for coherent control of a spin qubit in a set of qubits is the destructive effect of the applied magnetic field on the coherent dynamics of neighbouring qubits.
We propose a novel scheme to characterize the coherent dynamics of these quantum systems and to coherently control them using a magnetic field.
arXiv Detail & Related papers (2023-03-31T10:29:26Z) - Pulse-controlled qubit in semiconductor double quantum dots [57.916342809977785]
We present a numerically-optimized multipulse framework for the quantum control of a single-electron charge qubit.
A novel control scheme manipulates the qubit adiabatically, while also retaining high speed and ability to perform a general single-qubit rotation.
arXiv Detail & Related papers (2023-03-08T19:00:02Z) - Programmable N-body interactions with trapped ions [0.0]
Trapped atomic ion qubits are a powerful quantum platform for quantum computation and simulation.
We formulate and analyze a mechanism that extends the standard Molmer-Sorensen pairwise entangling gate.
We show that spin-dependent optical forces applied at twice the motional frequency generate a coordinate-transformation of the collective ion motion in phase-space.
arXiv Detail & Related papers (2022-07-21T15:49:52Z) - Waveguide quantum optomechanics: parity-time phase transitions in
ultrastrong coupling regime [125.99533416395765]
We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction.
The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry.
The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
arXiv Detail & Related papers (2020-07-04T11:02:20Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.