14.50.+a Adiabatic quantum computation

Staying adiabatic with unknown energy gap

Date: 
2014-11-27
Author(s): 

J. Nehrkorn, S. Montangero, A. Ekert, A. Smerzi, R. Fazio, T. Calarco

Reference: 

arXiv:1105.1707v1

We introduce an algorithm to perform an optimal adiabatic evolution that operates without an apriori knowledge of the system spectrum. By probing the system gap locally, the algorithm maximizes the evolution speed, thus minimizing the total evolution time.

Holonomic quantum computing in ground states of spin chains with symmetry-protected topological order

Date: 
2011-03-30
Author(s): 

M. Renes, Akimasa Miyake, Gavin K. Brennen, and Stephen D. Bartlett

Reference: 

arxiv:1103.5076

While solid-state devices offer naturally reliable hardware for modern classical computers, thus far quantum information processors resemble vacuum tube computers in being neither reliable nor scalable. Strongly correlated many body states stabilized in topologically ordered matter offer the possibility of naturally fault tolerant computing, but are both challenging to engineer and coherently control and cannot be easily adapted to different physical platforms.

Adiabatically steered open quantum systems: Master equation and optimal phase

Date: 
2010-12-14
Author(s): 

J. Salmilehto, P. Solinas, J. Ankerhold, and M. Möttönen

Reference: 

Phys. Rev. A 82, 062112 (2010)

We introduce an alternative way to derive the generalized form of the master equation recently presented by J. P. Pekola et al. Phys. Rev. Lett. 105 030401 (2010) for an adiabatically steered two-level quantum system interacting with a Markovian environment. The original derivation employed the effective Hamiltonian in the adiabatic basis with the standard interaction picture approach but without the usual secular approximation. Our approach is based on utilizing a master equation for a nonsteered system in the first superadiabatic basis.

Decoherence in Adiabatic Quantum Evolution: Application to Cooper Pair Pumping

Date: 
2010-07-12
Author(s): 

J. P. Pekola, V. Brosco, M. Möttönen, P. Solinas, and A. Shnirman

Reference: 

Phys. Rev. Lett. 105, 030401 (2010)

One of the challenges of adiabatic control theory is the proper inclusion of the effects of dissipation. Here we study the adiabatic dynamics of an open two-level quantum system deriving a generalized master equation to consistently account for the combined action of the driving and dissipation. We demonstrate that in the zero-temperature limit the ground state dynamics is not affected by environment. As an example, we apply our theory to Cooper pair pumping, which demonstrates the robustness of ground state adiabatic evolution.

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