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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…
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,…
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…
Quantum Error Correction in Adversarial Regimes
Rahul Arvind, Nikhil Bansal, Dax Enshan Koh +2
In adversarial settings, where attackers can deliberately and strategically corrupt quantum data, standard quantum error correction reaches its limits. It can only correct up to ha…
Near-Term Pseudorandom and Pseudoresource Quantum States
Andrew Tanggara, Mile Gu, Kishor Bharti
A pseudorandom quantum state (PRS) is an ensemble of quantum states indistinguishable from Haar-random states to observers with efficient quantum computers. It allows one to substi…
Approximate Dynamical Quantum Error-Correcting Codes
Nirupam Basak, Andrew Tanggara, Ankith Mohan +2
Quantum error correction plays a critical role in enabling fault-tolerant quantum computing by protecting fragile quantum information from noise. While general-purpose quantum erro…
Contextuality of Quantum Error-Correcting Codes
Derek Khu, Andrew Tanggara, Chao Jin +1
Universal fault-tolerant quantum computation requires overcoming the Eastin--Knill theorem on quantum error correction (QEC) codes that protect information from noise. This is ofte…
Pseudorandom quantum authentication
Tobias Haug, Nikhil Bansal, Wai-Keong Mok +2
We introduce the pseudorandom quantum authentication scheme (PQAS), an efficient method for encrypting quantum states that relies solely on the existence of pseudorandom unitaries…