9 papers
The Quantum Hamming Bound in Arbitrary Local Dimension
Yu-Xuan Zhang, Jing-Ling Chen
The quantum Hamming bound is the finite-length sphere-packing count for exact quantum error correction: the code dimension times the number of correctable local error patterns must…
Degeneracy Cannot Violate the Quantum Hamming Bound
Yu-Xuan Zhang, Jing-Ling Chen
The quantum Hamming bound is the standard finite-length sphere-packing bound for exact correction of arbitrary qubit errors. Whether degeneracy can evade this bound has remained un…
Every Rank-2 Bipartite Entangled State is Projectively Steerable
Yu-Xuan Zhang, Jing-Ling Chen
We prove that every rank-2 bipartite entangled state is already steerable with projective measurements, closing the first possible gap between entanglement and Einstein-Podolsky-Ro…
Exact SU(2) Yang-Mills Waves from a Simple Ansatz
Yu-Xuan Zhang, Jing-Ling Chen
We propose a simple ansatz that reduces the sourceless SU(2) Yang--Mills equations in (3+1) dimensions to nine algebraic constraints. Solving these constraints yields three closed-…
Boundary Geometry Turns Entanglement into Steering
Yu-Xuan Zhang, Jing-Ling Chen
Quantum entanglement does not necessarily imply Einstein-Podolsky-Rosen steering. We identify a \emph{boundary mechanism} that closes this gap when an entangled state meets the bou…
Exact Solutions of the SU(2) Yang-Mills Equations from a Static Ansatz
Yu-Xuan Zhang, Jing-Ling Chen
We present a systematic study of static solutions to the source-free SU(2) Yang-Mills equations, in which the gauge potential explicitly depends on spin operators. By employing the…