Protecting coherence from environment via Stark many-body localization in a Quantum-Dot Simulator

Abstract

Semiconductor platforms are emerging as a promising architecture for storing and processing quantum information e.g., in quantum dot spin qubits. These setups have relatively low nuclear noise, but charge noise coming from many body interactions between the electrons is a major limiting factor with scalability for a useful quantum computer. Here we show how an electric field gradient, readily obtainable with semiconductor quantum dots, can be engineered to induce local quantum coherent dynamical ℓ−bits that have potential to be used as logical qubits. We take into account the full (interacting) electron and phonon dynamics, and analytically, from first principles without any approximation, show that these dynamical ℓ−bits are protected from all sources noise for exponentially long times provided only that the electron-phonon interaction is not completely non-local. Our work opens a new venue for passive quantum error correction and scaling of semiconductor quantum computers.

Floquet Engineering Heisenberg from Ising Using Constant Drive Fields for Quantum Simulation

“…By choosing periodic driving fields that generate closed paths on the sphere, it is possible to engineer evolution according to different Hamiltonians. The use of periodic dynamics to generate different Hamiltonians, known as Floquet engineering, has been used to simulate a range of interactions [86,87,[102][103][104][105][106][107][108][109][110][111][112], including the Ising Hamiltonian from the Heisenberg interaction in quantum-dot systems [113,114]. Floquet engineering has also been previously applied to static Hamiltonians in the interaction picture to understand how some systems prethermalize to a Hamiltonian that is not the generator of their evolution [115][116][117][118].…”

Stark localization as a resource for weak-field sensing with super-Heisenberg precision

“…Consequently, the tunneling rate is suppressed and the wave function of the particles localizes in space. This is known as Stark localization [72] and has been exploited for inducing single-particle [73][74][75][76][77][78] and many-body localization without disorder [78][79][80][81][82][83][84][85][86][87][88][89][90][91][92][93][94][95], probing the geometry of nano-structures [96], protecting many-body coherence from the environment [97], investigating gauge theories [98][99][100] and creating quantum scars [48,[101][102][103][104][105]. Stark localization has been experimentally observed in ion-traps [106], ultracold atoms trapped in optical lattices [102,107], and superconducting simulators [108].…”