11 papers
Two-copy nondistillability of Werner states: sharp partial-trace inequalities and finite-copy extensions
Kishor Bharti, Rishikesh Gajjala, Tobias Haug
We solve the two-copy distillability problem for Werner states in every local dimension. Our main matrix result is a sharp, dimension-free inequality: for every rank-at-most-two op…
Quantum error correction and fault tolerance: A comprehensive tutorial
Daniel J. Spencer, Shubham P. Jain, Andrew Tanggara +4
Noise is one of the central obstacles to building useful quantum computers, and quantum error correction (QEC) provides the framework for protecting quantum information against it.…
Qudit low-density parity-check codes
Daniel J. Spencer, Andrew Tanggara, Tobias Haug +2
Qudits offer significant advantages over qubit-based architectures, including more efficient gate compilation, reduced resource requirements, improved error-correction primitives,…
Hierarchical quantum decoders
Nirupam Basak, Ankith Mohan, Andrew Tanggara +3
Decoders are a critical component of fault-tolerant quantum computing. They must identify errors based on syndrome measurements to correct quantum states. While finding the optimal…
Quantum Cubature Codes
Yaoling Yang, Andrew Tanggara, Tobias Haug +1
Bosonic codes utilize the infinite-dimensional Hilbert space of harmonic oscillators to encode quantum information, offering a hardware-efficient approach to quantum error correcti…
Quantum heuristics for linear optimization over large separable operators
Ankith Mohan, Tobias Haug, Kishor Bharti +1
Optimizing over separable quantum objects is challenging for two key reasons: determining separability is NP-hard, and the dimensionality of the problem grows exponentially with th…