6 papers
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…
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…
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…
Peres-type Criterion of Einstein-Podolsky-Rosen Steering for Two Qubits
Yu-Xuan Zhang, Jing-Ling Chen
Quantum nonlocality manifests in multipartite systems through entanglement, Bell's nonlocality, and Einstein-Podolsky-Rosen (EPR) steering. While Peres's positive-partial-transpose…
Steerability of Rank-2 Two-Qubit Entangled States
Yu-Xuan Zhang, Jing-Ling Chen
Quantum nonlocality is an essential resource in quantum information and is commonly classified into three distinct forms: quantum entanglement, Einstein-Podolsky-Rosen (EPR) steeri…