Advances in bosonic quantum error correction with Gottesman–Kitaev–Preskill Codes: Theory, engineering and applications
Encoding quantum information into a set of harmonic oscillators is considered a hardware
efficient approach to mitigate noise for reliable quantum information processing. Various …
efficient approach to mitigate noise for reliable quantum information processing. Various …
Performance and structure of single-mode bosonic codes
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 …
oscillator has recently been followed by cat-and binomial-code proposals. Numerically …
Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
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 …
error-corrected quantum computation. One advantageous way to achieve this is through …
All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code
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 …
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
Gaussian thermal loss channels are of particular importance to quantum communication
theory since they model realistic optical communication channels. Except for special cases …
theory since they model realistic optical communication channels. Except for special cases …
Modular bosonic subsystem codes
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 …
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
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 …
simultaneous loss of two photons in each mode and whose steady states are superpositions …
Equivalence of approximate gottesman-kitaev-preskill codes
The Gottesman-Kitaev-Preskill (gkp) quantum error-correcting code attracts much attention
in continuous variable (CV) quantum computation and CV quantum communication due to …
in continuous variable (CV) quantum computation and CV quantum communication due to …
Uncertainty relations for coarse–grained measurements: an overview
Uncertainty relations involving incompatible observables are one of the cornerstones of
quantum mechanics. Aside from their fundamental significance, they play an important role …
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 …
codes with finite energy, and find that operations designed for ideal infinite-energy codes …