Quantum error correction

A quantum code describes how quantum data is spread among several quantum systems, and I am particularly intrigued by symmetric quantum codes. Symmetric qubit codes have the advantage of lying in the ground space of any spin-1/2 Heisenberg ferromagnet, and also having immunity against permutation errors that may occur during quantum communication.

I constructed symmetric codes and investigated storing more than one logical qubit in symmetric codes. Because of the pervasiveness of bosonic systems, I considered studying permutation-invariant bosonic codes that also lie within the decoherence-free-subspace of a quantum transmission line. Such bosonic quantum codes are potentially useful for transmission in a quantum bus.

Related papers:

2020 Linear programming bounds for quantum amplitude damping codes [QEC/PI code]

Y. Ouyang, C.Y. Lai http://arxiv.org/abs/2001.03976

2019 Tight bounds on the simultaneous estimation of incompatible parameters [Metrology/QEC/PI code]

J. S. Sidhu, Y. Ouyang, E. T. Campbell, P. Kok http://arxiv.org/abs/1912.09218

2019 Robust quantum metrology with explicit symmetric states [Metrology/QEC/PI code]

Y. Ouyang, N. Shettell, D. Markham http://arxiv.org/abs/1908.02378

2019 Quantum storage in quantum ferromagnets [Memory /QEC /PI code]

Y. Ouyang http://arxiv.org/abs/1904.01458

2019 Initializing a permutation-invariant quantum error correction code [QEC/PI code]

C. Wu, Y. Wang, C. Guo, Y. Ouyang, G. Wang, XL Feng Physical Review A 99 (1), 012335

2019 Causal limit on quantum communication [QEC]

R. Pisarczyk, Z. Zhao, Y. Ouyang, J. Fitzsimons, V. Vedral Physical Review Letters 123, 150502

2019 Permutation-invariant constant-excitation quantum codes for amplitude damping [QEC/PI code]

Y. Ouyang, R. Chao IEEE Transactions on Information Theory 66 (5), 2921 - 2933

2017 Permutation-invariant qudit codes from polynomials [QEC/PI code]

Y. Ouyang Linear Algebra and its Applications 532, Pages 43–59

2016 Permutation-invariant codes encoding more than one qubit [QEC/PI code]

Y. Ouyang, J. Fitzsimons Physical Review A 93, 042340

2014 Permutation-invariant quantum codes [QEC/PI code]

Y. Ouyang Physical Review A 90, 062317

2014 Channel covariance, twirling, contraction, and some upper bounds on the quantum capacity [QEC]

Y. Ouyang Quantum Information and Computation, 14, Number 11\&12, 0917-0936

2014 Concatenated codes can attain the Quantum Gilbert-Varshamov bound [QEC]

Y. Ouyang IEEE Transactions on Information Theory, 60, Issue 6, Pages: 1-6

2013 Truncated channel representations for coupled harmonic oscillators [QEC]

Y. Ouyang, W.H. Ng Journal of Physics A: Mathematical and Theoretical 46, 205301 (20pp)