Title
Physical Limits of Heat-Bath Algorithmic Cooling
Abstract
Simultaneous near-certain preparation of qubits (quantum bits) in their ground states is a key hurdle in quantum computing proposals as varied as liquid-state NMR and ion traps. “Closed-system” cooling mechanisms are of limited applicability due to the need for a continual supply of ancillas for fault tolerance and to the high initial temperatures of some systems. “Open-system” mechanisms are therefore required. We describe a new, efficient initialization procedure for such open systems. With this procedure, an $n$-qubit device that is originally maximally mixed, but is in contact with a heat bath of bias $\varepsilon \gg 2^{-n}$, can be almost perfectly initialized. This performance is optimal due to a newly discovered threshold effect: For bias $\varepsilon \ll 2^{-n}$ no cooling procedure can, even in principle (running indefinitely without any decoherence), significantly initialize even a single qubit.
Year
DOI
Venue
2007
10.1137/050666023
Physical Review Letters
Keywords
Field
DocType
qubit device,heat-bath algorithmic cooling,quantum bit,state preparation,quantum computing proposal,heat bath,ground state,quantum computation,cooling procedure,single qubit,continual supply,physical limits,efficient initialization procedure,fault tolerance,thermodynamics,nuclear magnetic resonance,quantum computer,quantum statistics,open system,fault tolerant,ion trap
Quantum,Quantum mechanics,Quantum computer,Fault tolerance,Quantum decoherence,Initialization,Open system (systems theory),Qubit,Ion,Condensed matter physics,Physics
Journal
Volume
Issue
ISSN
36
6
0031-9007
Citations 
PageRank 
References 
6
3.26
4
Authors
3
Name
Order
Citations
PageRank
Leonard J. Schulman11328136.88
Tal Mor220849.00
Yossi Weinstein363.59