Implementation of one-dimensional quantum walks on spin-orbital angularmomentum space of photons
Pei Zhang
Xi’an Jiaotong University
Contents
Conclusion
Advantages
Quantum walks implementation by Q plate
Spin-orbital angular momentum of photon
Background and motivation
Quantum walks algorithm
Experimental Realizations
Our Motivation
Implementing quantum random walk simply and efficiently !
1. Background and motivation
Quantum walks algorithm
1. A. M. Childs, et al, in Proceedings of the 35th ACM Symposium on Theory puting (STOC 2003) (ACM Press, New York, 2003);
2. N. Shenvi, et al, PRA 67, 052307 (2003).
3. A. M. Childs, PRL 102, 180501 (2009).
Experimental realizations
1. Ion traps, PRL 103, 090504 (2009); PRL 103, 183602 (2009).
2. Microwave or optical cavities, PRA 67, 042305 (2003);
3. Nuclear ic resonance systems [9], PRA 67, 042316 (2003);
4. Optical lattices, Science 325, 174 (2009).
5. Linear optical elements, PRA 69, 012310 (2004); PRA 75, 052310 (2007). PRL 104, 050502 (2010); PRL 104, 153602 (2010).
Our motivations
Simple and Efficient
1. Background and motivation
2. Spin-orbital angular momentum of photon
Photon
How to transfer information
between them ?
Spin angular
momentum
Polarization
Orbital angular
momentum
Light Mode
Easy to
control and
detect
Hard to
control and
detect
Two dimensions
Infinity dimensions
l = 0
l = 1
l = 2
计算全息片( m = 1)
-- Q Plate
PRL 96, 163905 (2006)
APL 88, 221102 (2006)
PRL 103, 013601 (2009)
2. Spin-orbital angular momentum of photon
-- Quantum random walk
经典随机行走
初态唯一
初态:
3. Quantum walks implementation by Q plate
量子随机行走
初态不唯一
Pei Zhang, et al. PRA 75, 052310 (2007)
3. Quantum walks implementation by Q plate
Pei Zhang, et al. PRA 81, 052322 (2010)
3. Quantum walks implementation by Q plate
4. Advantages
Comparing with other three related articles: PRA 75, 052310 (2007). PRL 104, 050502 (2010); PRL 104, 153602 (2010).
PRL 104, 050502 (2010);
PRL 104,
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