376 citations · 3k across the 73 of their papers we have counts for
6 papers · 2 filters
Invariant Perfect Tensors
Youning Li, Muxin Han, Markus Grassl +1
Invariant tensors are states in the SU(2) tensor product representation that are invariant under the SU(2) action. They play an important role in the study of loop quantum gravity.…
Quantum metrology at the limit with extremal Majorana constellations
F. Bouchard, P. de la Hoz, G. Bjork +8
Quantum metrology allows for a tremendous boost in the accuracy of measurement of diverse physical parameters. The estimation of a rotation constitutes a remarkable example of this…
Small sets of complementary observables
M. Grassl, D. McNulty, L. Mišta +1
Two observables are called complementary if preparing a physical object in an eigenstate of one of them yields a completely random result in a measurement of the other. We investig…
The Clifford group fails gracefully to be a unitary 4-design
Huangjun Zhu, Richard Kueng, Markus Grassl +1
A unitary t-design is a set of unitaries that is "evenly distributed" in the sense that the average of any t-th order polynomial over the design equals the average over the entire…
Concatenated Codes for Amplitude Damping
Tyler Jackson, Markus Grassl, Bei Zeng
We discuss a method to construct quantum codes correcting amplitude damping errors via code concatenation. The inner codes are chosen as asymmetric Calderbank-Shor-Steane (CSS) cod…
Codeword Stabilized Quantum Codes for Asymmetric Channels
Tyler Jackson, Markus Grassl, Bei Zeng
We discuss a method to adapt the codeword stabilized (CWS) quantum code framework to the problem of finding asymmetric quantum codes. We focus on the corresponding Pauli error mode…