Dynamical Decoherence Control : Quantum-Zeno & Anti-Zeno Dynamics

Quantum phenomena are expected to play an increasing role in technologies. Special attention must hence be paid to decoherence effects emerging, such as coupling of the system to an external environment (bath), noise in the classical fields controlling the system, or population leakage out of a relevant system subspace.
In operational tasks involving quantum states, these effects are detrimental and must be suppressed by dynamical control. The underlying dynamics must be Zeno-like: suppressed coupling to the bath.

There are however tasks which cannot be implemented by unitary evolution, in particular a change of the system’s entropy. Such tasks necessitate efficient coupling to a bath for their implementation. Examples are the use of measurements to cool (purify) a system, or harvest energy from the environment. If the dynamics is anti-Zeno like, enhancement of this coupling to the bath will occur and thereby facilitate the task, as discovered by us.
We have constructed a general framework for optimizing the way a system interacts with its environment to achieve a desired task. This optimization consists in maximizing the success of the task, such as controlling fidelity, entropy, entanglement, or energy by dynamical modification of the system-bath coupling spectrum on demand.

Another effort is to protect multipartite entangled quantum states from decoherence by their environment. Such protection is the key to the coveted quantum computation. The challenge is: how to optimally control multiqubit entangled states? Our ability to face this challenge relies on our universal approach to decoherence control.

Control within the bath memory-time  implies Zeno or  anti-Zeno dynamics: Our theory of quantum systems whose weak interaction with thermal baths is dynamically controlled treats all kinds of such control, be it coherent or projective (non-unitary), continuous or pulsed, as generalized forms of two generic effects or control paradigms. One is
Minimized bath effect ≡ Quantum Zeno effect (QZE)
which minimizes (under constraints on the control energy) the integral product (overlap) of two functions: G(ω) the coupling spectrum of the bath (obtained by Fourier-transforming its autocorrelation function) and a spectral 'filter' function F1(ω) determined by the control field-intensity spectrum and its time duration t. It is the 'filter' function that provides the control handle on our ability to optimally execute a desired task in the presence of a given bath. In the presence of several baths (a common situation), both G(ω) and F1(ω) functionals are represented by matrices.

QZE-based control is required in operational tasks related to quantum information its storage and transmission, where bath effects are detrimental and must be suppressed. Regardless of the chosen form of control, the controlled-system dynamics must then be Zeno-like, namely, resulting in suppressed system–bath interaction.
The alternative paradigm is
Maximized bath effect ≡ Anti- Zeno effect (AZE)

 Our selected publications on these issues:

A.G. Kofman and G. Kurizki, Acceleration of Quantum Decay Processes by Frequent Observations. Nature 405, 546 (2000).
A.G. Kofman and G. Kurizki, Quantum Zeno Effect on Atomic Excitation Decay, Phys. Rev. A 54, R3750 (1996): first discussion of quantum anti-Zeno and Zeno effects.
A.G. Kofman and G. Kurizki, Universal Dynamical Control of Quantum Mechanical Decay, Phys. Rev. Lett. 87, 270405 (2001).
A.G. Kofman and G.Kurizki, Unified Theory of Dynamically Suppressed Qubit Decoherence in Thermal Baths, Phys. Rev. Lett. 93, 130406 (2004).
A. Barone, G. Kurizki and AG Kofman, Dynamical Control of Macroscopic Quantum Tunneling, Phys. Rev. Lett. 92, 200403 (2004).
Gordon, G; Kurizki, G; Lidar, Da (2008). Optimal Dynamical Decoherence Control of a Qubit,
Physical Review Letters. 101, 010403.
G. Gordon, N.Erez and G. Kurizki, Universal Dynamical Decoherence Control  of Noisy Single-and Multi-Qubit Systems,  J. Phys. B 40, S 75 (2007).
Khodorkovsky, Y; Kurizki, G; Vardi, A (2008). Bosonic Amplification of Noise-Induced Suppression of Phase Diffusion.
Physical Review Letters. 100, 220403.
G. Gordon and G. Kurizki, Preventing Multipartite Disentanglement by Local Modulations, Phys. Rev. Lett. 97, 110503 (2006).
Clausen, J; Bensky, G; Kurizki, G (2010). Bath-Optimized Minimal-Energy Protection of Quantum Operations from Decoherence.
Physical Review Letters. 104, 040401.
Gordon, G; Kurizki, G (2011). Scalability of Decoherence Control in Entangled Systems.
Physical Review A. 83, 032321.