Distinguishing decoherence from alternative quantum theories by dynamical decoupling

Abstract

A longstanding challenge in the foundations of quantum mechanics is the verification of alternative collapse theories despite their mathematical similarity to decoherence. To this end, we suggest a novel method based on dynamical decoupling. Experimental observation of nonzero saturation of the decoupling error in the limit of fast decoupling operations can provide evidence for alternative quantum theories. As part of the analysis we prove that unbounded Hamiltonians can always be decoupled, and provide novel dilations of Lindbladians.

8 pages. Final published version

References in corpus (13)

• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Decoherence-protected quantum gates for a hybrid solid-state spin register
• Quantum Error Correction
• Near-field interferometry of a free-falling nanoparticle from a point-like source
• Macroscopicity of Mechanical Quantum Superposition States
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Optomechanical sensing of spontaneous wave-function collapse
• Non-interferometric Test of Collapse Models in Optomechanical Systems
• On the conundrum of deriving exact solutions from approximate master equations
• Collapse models: from theoretical foundations to experimental verifications
• A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence
• Effects of stochastic noise on dynamical decoupling procedures

Cited by in corpus (40)

• Concepts of quantum non-Markovianity: a hierarchy
• Operational Markov condition for quantum processes
• Quantum stochastic processes and quantum non-Markovian phenomena
• Completely Positive Divisibility Does Not Mean Markovianity
• Testing Wavefunction Collapse Models using Parametric Heating of a Trapped Nanosphere
• When is a non-Markovian quantum process classical?
• Coherence and non-classicality of quantum Markov processes
• Dynamical decoupling efficiency versus quantum non-Markovianity
• Detecting continuous spontaneous localisation with charged bodies in a Paul trap
• Almost Markovian processes from closed dynamics
• Reconstructing open quantum system dynamics with limited control
• The roles of drift and control field constraints upon quantum control speed limits
• Randomized benchmarking for non-Markovian noise
• Dynamical Decoupling of Unbounded Hamiltonians
• Gravitational Effects in Quantum Mechanics
• Non-Markovian quantum control as coherent stochastic trajectories
• Non-Markovian Memory Strength Bounds Quantum Process Recoverability
• Measurement-Assisted Quantum Communication in Spin Channels with Dephasing
• Experimental speedup of quantum dynamics through squeezing
• Unravelling the noise: the discrimination of wave function collapse models under time-continuous measurements
• Quantum simulations of dissipative dynamics: time-dependence instead of size
• Quantifying Non-Markovianity in Open Quantum Dynamics
• Dynamical Decoupling and Homogenization of continuous variable systems
• Positive Hamiltonians can give purely exponential decay
• Quantum jump Monte Carlo simplified: Abelian symmetries
• Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses
• Control of quantum noise: on the role of dilations
• Can Quantum Markov Evolutions Ever Be Dynamically Decoupled?
• How does interference fall?
• On the role of initial coherence in the spin phase-space entropy production rate
• Decoherence and noise in open quantum system dynamics
• Product formulas in the framework of mean ergodic theorems
• Dynamical control of quantum systems in the context of mean ergodic theorems
• Frozen and Invariant Quantum Discord under Local Dephasing Noise
• Isotropy and control of dissipative quantum dynamics
• Robust Error Accumulation Suppression for Quantum Circuits
• Toy Model Challenging Prevailing Definitions of Classicality
• Exact Decoherence and Orthogonal Pointer States Brought by One Degree of Freedom: von Neumann Equation Approach and Examples
• Adapted projection operator technique for the treatment of initial correlations
• Quantum non-Markovianity elusive to interventions