376 citations · 3k across the 73 of their papers we have counts for
74 papers
SIC-POVMs from Stark Units: Dimensions n^2+3=4p, p prime
Ingemar Bengtsson, Markus Grassl, Gary McConnell
The existence problem for maximal sets of equiangular lines (or SICs) in complex Hilbert space of dimension remains largely open. In a previous publication (arXiv:2112.05552) w…
Codes for entanglement-assisted classical communication
Tushita Prasad, Markus Grassl
Entanglement-assisted classical communication (EACC) aims to enhance communication systems using entanglement as an additional resource. However, there is a scarcity of explicit pr…
The Subfield Metric and its Application to Quantum Error Correction
Markus Grassl, Anna-Lena Horlemann, Violetta Weger
We introduce a new weight and corresponding metric over finite extension fields for asymmetric error correction. The weight distinguishes between elements from the base field and t…
New Quantum Codes from CSS Codes
Markus Grassl
We present a new propagation rule for CSS codes. Starting with a CSS code , we construct a CSS code with parameters . In general, one would on…
How Much Entanglement Does a Quantum Code Need?
Gaojun Luo, Martianus Frederic Ezerman, Markus Grassl +1
In the setting of entanglement-assisted quantum error-correcting codes (EAQECCs), the sender and the receiver have access to pre-shared entanglement. Such codes promise better info…
Quantum variational learning for quantum error-correcting codes
Chenfeng Cao, Chao Zhang, Zipeng Wu +2
Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum computation. In the past two decades, various constructions of quantum error-correctin…