Princeton University High Energy Theory Seminar
Quantum Error Correction and Large N
To join HET Seminar, please click link below:
https://princeton.zoom.us/j/98595504817?pwd=QWxDMzFGWjdBdmVBRTFyQmtvajVNQT09
Meeting ID: 985 9550 4817
Passcode: 604268
Abstract: In recent years quantum error correction (QEC) has become an important part of AdS/CFT. Unfortunately, there are no field-theoretic arguments about why QEC holds in known holographic systems. The purpose of this talk is to fill this gap by studying the error correcting properties of the fermionic sector of various large N theories. Specifically, we examine SU(N) matrix quantum mechanics and 3-rank tensor O(N)^3 theories. Both of these theories contain large gauge groups. We argue that gauge singlet states indeed form a quantum error correcting code. Our considerations are based purely on large N analysis and do not appeal to a particular form of Hamiltonian or holography.