References
[1]
Calderbank
A R,
Shor
P W.
Good quantum error-correcting codes exist.
Phys Rev A,
1995, 54: 1098-1105
Google Scholar
http://scholar.google.com/scholar_lookup?title=Good quantum error-correcting codes exist&author=Calderbank A R&author=Shor P W&publication_year=1995&journal=Phys Rev A&volume=54&pages=1098-1105
[2]
Gottesman D. Stabilizer codes and quantum error correction. Dissertation for Ph.D. Degree. Psadena: California Institute of Technology, 1997. 17--35.
Google Scholar
http://scholar.google.com/scholar_lookup?title=Gottesman D. Stabilizer codes and quantum error correction. Dissertation for Ph.D. Degree. Psadena: California Institute of Technology, 1997. 17--35&
[3]
Steane
A M.
Error correcting codes in quantum theory.
Phys Rev Lett,
1997, 77: 793-797
Google Scholar
http://scholar.google.com/scholar_lookup?title=Error correcting codes in quantum theory&author=Steane A M&publication_year=1997&journal=Phys Rev Lett&volume=77&pages=793-797
[4]
Gottesman D. An introduction to quantum error correction. In: Lomonaco S J, ed. Quantum Computation: a Grand Mathematical Challenge for the Twenty-First Century and the Millennium. Providence: American Mathematical Society, 2002. 221--235.
Google Scholar
http://scholar.google.com/scholar_lookup?title=Gottesman D. An introduction to quantum error correction. In: Lomonaco S J, ed. Quantum Computation: a Grand Mathematical Challenge for the Twenty-First Century and the Millennium. Providence: American Mathematical Society, 2002. 221--235&
[5]
Nielsen
M A,
Chuang
I L.
Quantum computation and quantum information.
Am J Phys,
2002, 70: 558-559
Google Scholar
http://scholar.google.com/scholar_lookup?title=Quantum computation and quantum information&author=Nielsen M A&author=Chuang I L&publication_year=2002&journal=Am J Phys&volume=70&pages=558-559
[6]
Young
K C,
Sarovar
M,
Blume-Kohout
R, et al.
Error suppression and error correction in adiabatic quantum computation: techniques and challenges.
Phys Rev X,
2013, 3: 5326-5333
Google Scholar
http://scholar.google.com/scholar_lookup?title=Error suppression and error correction in adiabatic quantum computation: techniques and challenges&author=Young K C&author=Sarovar M&author=Blume-Kohout R&publication_year=2013&journal=Phys Rev X&volume=3&pages=5326-5333
[7]
Lidar D, Brun T. Quantum Error Correction. Cambridge: Cambridge University Press, 2013. 181--199.
Google Scholar
http://scholar.google.com/scholar_lookup?title=Lidar D, Brun T. Quantum Error Correction. Cambridge: Cambridge University Press, 2013. 181--199&
[8]
Bowen
G.
Entanglement required in achieving entanglement-assisted channel capacities.
Phys Rev A,
2002, 66: 357-364
Google Scholar
http://scholar.google.com/scholar_lookup?title=Entanglement required in achieving entanglement-assisted channel capacities&author=Bowen G&publication_year=2002&journal=Phys Rev A&volume=66&pages=357-364
[9]
Brun
T,
Devetak
I,
Hsieh
M H, et al.
Catalytic quantum error correction.
IEEE Trans Inf Theory,
2006, 60: 3073-3089
Google Scholar
http://scholar.google.com/scholar_lookup?title=Catalytic quantum error correction&author=Brun T&author=Devetak I&author=Hsieh M H&publication_year=2006&journal=IEEE Trans Inf Theory&volume=60&pages=3073-3089
[10]
Brun
T,
Devetak
I,
Hsieh
M H, et al.
Correcting quantum errors with entanglement.
Science,
2006, 314: 436-439
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Correcting quantum errors with entanglement&author=Brun T&author=Devetak I&author=Hsieh M H&publication_year=2006&journal=Science&volume=314&pages=436-439
[11]
Wilde M M. Quantum coding with entanglement. Dissertation for Ph.D. Degree. Los Angeles: University of Southern California, 2008. 21--40.
Google Scholar
http://scholar.google.com/scholar_lookup?title=Wilde M M. Quantum coding with entanglement. Dissertation for Ph.D. Degree. Los Angeles: University of Southern California, 2008. 21--40&
[12]
Lai
C Y,
Brun
T.
Entanglement increases the error-correcting ability of quantum error-correcting codes.
Phys Rev A,
2013, 88: 2343-2347
Google Scholar
http://scholar.google.com/scholar_lookup?title=Entanglement increases the error-correcting ability of quantum error-correcting codes&author=Lai C Y&author=Brun T&publication_year=2013&journal=Phys Rev A&volume=88&pages=2343-2347
[13]
Lai
C Y,
Brun
T A,
Wilde
M M, et al.
Duality in entanglement-assisted quantum error correction.
IEEE Trans Inf Theory,
2013, 59: 4020-4024
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Duality in entanglement-assisted quantum error correction&author=Lai C Y&author=Brun T A&author=Wilde M M&publication_year=2013&journal=IEEE Trans Inf Theory&volume=59&pages=4020-4024
[14]
Lai
C Y,
Brun
T A,
Wilde
M M, et al.
Dualities and identities for entanglement-assisted quantum codes.
Quantum Inf Process,
2014, 13: 957-990
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Dualities and identities for entanglement-assisted quantum codes&author=Lai C Y&author=Brun T A&author=Wilde M M&publication_year=2014&journal=Quantum Inf Process&volume=13&pages=957-990
[15]
Bennett
C H,
Brassard
G,
Crepeau
C, et al.
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels.
Phys Rev Lett,
1993, 70: 1895-1899
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels&author=Bennett C H&author=Brassard G&author=Crepeau C&publication_year=1993&journal=Phys Rev Lett&volume=70&pages=1895-1899
[16]
Bennett
C H,
Wiesner
S J.
Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states.
Phys Rev Lett,
1992, 69: 2881-2884
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states&author=Bennett C H&author=Wiesner S J&publication_year=1992&journal=Phys Rev Lett&volume=69&pages=2881-2884
[17]
Blume-Kohout
R,
Caves
C M,
Deutsch
I H, et al.
Climbing mount scalable: physical-resource requirements for a scalable quantum computer.
Found Phys,
2002, 32: 1641-1670
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Climbing mount scalable: physical-resource requirements for a scalable quantum computer&author=Blume-Kohout R&author=Caves C M&author=Deutsch I H&publication_year=2002&journal=Found Phys&volume=32&pages=1641-1670
[18]
Soderberg
K A B,
Monroe
C.
Phonon-mediated entanglement for trapped ion quantum computing.
Rep Prog Phys,
2010, 73: 569-580
Google Scholar
http://scholar.google.com/scholar_lookup?title=Phonon-mediated entanglement for trapped ion quantum computing&author=Soderberg K A B&author=Monroe C&publication_year=2010&journal=Rep Prog Phys&volume=73&pages=569-580
[19]
Bennett
C H,
Brassard
G,
Popescu
S, et al.
Purification of noisy entanglement and faithful teleportation via noisy channels.
Phy Rev L,
1996, 76: 722-725
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Purification of noisy entanglement and faithful teleportation via noisy channels&author=Bennett C H&author=Brassard G&author=Popescu S&publication_year=1996&journal=Phy Rev L&volume=76&pages=722-725
[20]
Bennett
C H,
Divincenzo
D P,
Smolin
J A, et al.
Mixed-state entanglement and quantum error correction.
Phy Rev A,
1996, 54: 3824-3851
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Mixed-state entanglement and quantum error correction&author=Bennett C H&author=Divincenzo D P&author=Smolin J A&publication_year=1996&journal=Phy Rev A&volume=54&pages=3824-3851
[21]
Gottesman
D.
Fault-tolerant quantum computation with higher-dimensional systems.
Chaos Soliton Fract,
1998, 10: 302-313
Google Scholar
http://scholar.google.com/scholar_lookup?title=Fault-tolerant quantum computation with higher-dimensional systems&author=Gottesman D&publication_year=1998&journal=Chaos Soliton Fract&volume=10&pages=302-313
[22]
Rains
E M.
Nonbinary quantum codes.
IEEE Trans Inf Theory,
1999, 45: 1827-1832
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Nonbinary quantum codes&author=Rains E M&publication_year=1999&journal=IEEE Trans Inf Theory&volume=45&pages=1827-1832
[23]
Ashikhmin
A,
Knill
E.
Nonbinary quantum stabilizer codes.
IEEE Trans Inf Theory,
2001, 47: 3065-3072
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Nonbinary quantum stabilizer codes&author=Ashikhmin A&author=Knill E&publication_year=2001&journal=IEEE Trans Inf Theory&volume=47&pages=3065-3072
[24]
Grassl
M,
Roetteler
M,
Beth
T, et al.
Efficient quantum circuits for non-qubit quantum error-correcting codes.
Int J Found Comput S,
2003, 14: 757-775
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Efficient quantum circuits for non-qubit quantum error-correcting codes&author=Grassl M&author=Roetteler M&author=Beth T&publication_year=2003&journal=Int J Found Comput S&volume=14&pages=757-775
[25]
Grassl
M,
Beth
T,
Rotteler
M, et al.
On optimal quantum codes.
Int J Quantum Inf,
2004, 2: 757-775
Google Scholar
http://scholar.google.com/scholar_lookup?title=On optimal quantum codes&author=Grassl M&author=Beth T&author=Rotteler M&publication_year=2004&journal=Int J Quantum Inf&volume=2&pages=757-775
[26]
Ketkar
A,
Klappenecker
A,
Kumar
S, et al.
Nonbinary stabilizer codes over finite fields.
IEEE Trans Inf Theory,
2006, 52: 4892-4914
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Nonbinary stabilizer codes over finite fields&author=Ketkar A&author=Klappenecker A&author=Kumar S&publication_year=2006&journal=IEEE Trans Inf Theory&volume=52&pages=4892-4914
[27]
Kim
J,
Walker
J.
Nonbinary quantum error-correcting codes from algebraic curves.
Discrete Math,
2008, 308: 3115-3124
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Nonbinary quantum error-correcting codes from algebraic curves&author=Kim J&author=Walker J&publication_year=2008&journal=Discrete Math&volume=308&pages=3115-3124
[28]
Feng K Q, Chen H. Quantum Error-Correcting Codes. Beijing: Science Press, 2010. 103--106.
Google Scholar
http://scholar.google.com/scholar_lookup?title=Feng K Q, Chen H. Quantum Error-Correcting Codes. Beijing: Science Press, 2010. 103--106&
[29]
Smith
A,
Anderson
B E,
Sosa-Martinez
H, et al.
Quantum control in the Cs 6S(1/2) ground manifold using radio-frequency and microwave magnetic fields.
Phys Rev Lett,
2013, 111: 170502-3124
CrossRef
Google Scholar
http://scholar.google.com/scholar_lookup?title=Quantum control in the Cs 6S(1/2) ground manifold using radio-frequency and microwave magnetic fields&author=Smith A&author=Anderson B E&author=Sosa-Martinez H&publication_year=2013&journal=Phys Rev Lett&volume=111&pages=170502-3124