Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Cao, Chunjun"'
Autor:
Fan, Junyu, Steinberg, Matthew, Jahn, Alexander, Cao, Chunjun, Sarkar, Aritra, Feld, Sebastian
Quantum error correction (QEC) is a crucial prerequisite for future large-scale quantum computation. Finding and analyzing new QEC codes, along with efficient decoding and fault-tolerance protocols, is central to this effort. Holographic codes are a
Externí odkaz:
http://arxiv.org/abs/2410.22861
Autor:
Cao, ChunJun, Cheng, Gong, Hamma, Alioscia, Leone, Lorenzo, Munizzi, William, Oliviero, Savatore F. E.
We study the interplay between magic and entanglement in quantum many-body systems. We show that non-local magic, which is supported by the quantum correlations is lower bounded by the non-flatness of entanglement spectrum and upper bounded by the am
Externí odkaz:
http://arxiv.org/abs/2403.07056
The holographic principle suggests that regions of space contain fewer physical degrees of freedom than would be implied by conventional quantum field theory. Meanwhile, in Hilbert spaces of large dimension $2^n$, it is possible to define $N \gg n$ P
Externí odkaz:
http://arxiv.org/abs/2402.11016
We apply the recent graphical framework of ''quantum lego'' to XP stabilizer codes where the stabilizer group is generally non-abelian. We show that the idea of operator matching continues to hold for such codes and is sufficient for generating all t
Externí odkaz:
http://arxiv.org/abs/2310.19538
We provide the first tensor network method for computing quantum weight enumerator polynomials in the most general form. If a quantum code has a known tensor network construction of its encoding map, our method is far more efficient, and in some case
Externí odkaz:
http://arxiv.org/abs/2308.05152
We investigate the relationship between superselection rules and quantum error correcting codes. We demonstrate that the existence of a superselection rule implies the Knill-Laflamme condition in quantum error correction. As an example, we examine qu
Externí odkaz:
http://arxiv.org/abs/2306.17230
Autor:
Cao, ChunJun
We show that no stabilizer codes over any local dimension can support a non-trivial area operator for any bipartition of the physical degrees of freedom even if certain code subalgebras contain non-trivial centers. This conclusion also extends to mor
Externí odkaz:
http://arxiv.org/abs/2306.14996
The recently introduced Quantum Lego framework provides a powerful method for generating complex quantum error correcting codes (QECCs) out of simple ones. We gamify this process and unlock a new avenue for code design and discovery using reinforceme
Externí odkaz:
http://arxiv.org/abs/2305.06378
We construct approximately local observables, or "overlapping qubits", using non-isometric maps and show that processes in local effective theories can be spoofed with a quantum system with fewer degrees of freedom, similar to our expectation in holo
Externí odkaz:
http://arxiv.org/abs/2304.02673
In this paper, we explore the possibility of building a quantum memory that is robust to thermal noise using large $N$ matrix quantum mechanics models. First, we investigate the gauged $SU(N)$ matrix harmonic oscillator and different ways to encode q
Externí odkaz:
http://arxiv.org/abs/2211.08448