Advances in bosonic quantum error correction with Gottesman–Kitaev–Preskill Codes: Theory, engineering and applications

AJ Brady, A Eickbusch, S Singh, J Wu… - Progress in Quantum …, 2024 - Elsevier
Encoding quantum information into a set of harmonic oscillators is considered a hardware
efficient approach to mitigate noise for reliable quantum information processing. Various …

Performance and structure of single-mode bosonic codes

VV Albert, K Noh, K Duivenvoorden, DJ Young… - Physical Review A, 2018 - APS
The early Gottesman, Kitaev, and Preskill (GKP) proposal for encoding a qubit in an
oscillator has recently been followed by cat-and binomial-code proposals. Numerically …

Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes

I Tzitrin, JE Bourassa, NC Menicucci, KK Sabapathy - Physical Review A, 2020 - APS
Encoding a qubit in the continuous degrees of freedom of an oscillator is a promising path to
error-corrected quantum computation. One advantageous way to achieve this is through …

All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code

BQ Baragiola, G Pantaleoni, RN Alexander, A Karanjai… - Physical review …, 2019 - APS
The Gottesman-Kitaev-Preskill (GKP) encoding of a qubit within an oscillator is particularly
appealing for fault-tolerant quantum computing with bosons because Gaussian operations …

Quantum capacity bounds of Gaussian thermal loss channels and achievable rates with Gottesman-Kitaev-Preskill codes

K Noh, VV Albert, L Jiang - IEEE Transactions on Information …, 2018 - ieeexplore.ieee.org
Gaussian thermal loss channels are of particular importance to quantum communication
theory since they model realistic optical communication channels. Except for special cases …

Modular bosonic subsystem codes

G Pantaleoni, BQ Baragiola, NC Menicucci - Physical Review Letters, 2020 - APS
We introduce a framework to decompose a bosonic mode into two virtual subsystems—a
logical qubit and a gauge mode. This framework allows the entire toolkit of qubit-based …

Pair-cat codes: autonomous error-correction with low-order nonlinearity

VV Albert, SO Mundhada, A Grimm… - Quantum Science …, 2019 - iopscience.iop.org
We introduce a driven-dissipative two-mode bosonic system whose reservoir causes
simultaneous loss of two photons in each mode and whose steady states are superpositions …

Equivalence of approximate gottesman-kitaev-preskill codes

T Matsuura, H Yamasaki, M Koashi - Physical Review A, 2020 - APS
The Gottesman-Kitaev-Preskill (gkp) quantum error-correcting code attracts much attention
in continuous variable (CV) quantum computation and CV quantum communication due to …

Uncertainty relations for coarse–grained measurements: an overview

F Toscano, DS Tasca, Ł Rudnicki, SP Walborn - Entropy, 2018 - mdpi.com
Uncertainty relations involving incompatible observables are one of the cornerstones of
quantum mechanics. Aside from their fundamental significance, they play an important role …

Two-qubit operations for finite-energy Gottesman-Kitaev-Preskill encodings

I Rojkov, PM Röggla, M Wagener… - Physical Review Letters, 2024 - APS
We present techniques for performing two-qubit gates on Gottesman-Kitaev-Preskill (GKP)
codes with finite energy, and find that operations designed for ideal infinite-energy codes …