Videos from our quantum error correction, quantum metrology, and quantum information theory research
A linear-algebraic procedure of deriving quantum codes from classical codes. Take home: the taste of a sandwich depends mainly on the patty.
If we use a probe state based on a CSS code for field sensing, the precision depends on the weight distribution of the underlying classical codes.
Encoding any quantum code with a two-qubit dual rail code allows us to completely avoid coherent errors in a single axis.
A quadratic programming approach to establishing tight bounds for the Holevo-Cramer-Rao bound, with analytical results for the two-parameter case.
If a multi-mode rotation-invariant bosonic code has in built number-shift resilience, it cannot have too much phase-shift resilience, unless if the number of modes goes to infinity.
We introduce auxiliary quantum weight enumerators to analyze the performance of approximate quantum error correction codes.
A short explanation of robust quantum metrology.
We get the best of both worlds for quantum simulation by Trotterization by hybridizing QDrift and stochastic methods two different algorithms, obtaining our protocol called SparSto. We prove results on the optimal hybridization of the two algorithms using duality theory in convex programming.
We introduce a conic programming framework for bounds in multiparameter quantum estimation theory, establishing a hierachy of bounds from a family of conic programs. The objective function of the conic programs are the same. Only the constraints differ. The cones we consider obey a nested structure thereby giving rise to this hierachy of bounds. The ultimate tight Cramer-Rao bound is the one for non-collective measurement strategies, and we give tight upper and lower bounds for it.
If you want lots of number-shift resilience, you cannot have too much phase-shift resilience..
We give a semi-definite programming approach to analyze the performance of quantum key distribution with non-ideal heterodyne detection.