From 5258be440a41c71e0801ea0139ccc4e8d068319f Mon Sep 17 00:00:00 2001 From: "Victor V. Albert" Date: Thu, 29 Feb 2024 16:35:10 -0500 Subject: [PATCH] Pfister refs --- codes/classical/analog/analog.yml | 2 ++ codes/classical/bits/cyclic/golay.yml | 1 + codes/classical/ecc.yml | 1 + codes/classical/spherical/lattice_shell/lattice_shell.yml | 2 +- .../oscillators/coherent_state/coherent_state_c-q.yml | 6 +++--- .../oscillators/coherent_state/psk/quantum_bpsk.yml | 2 +- .../qubits/qubit_classical_into_quantum.yml | 6 +++++- 7 files changed, 14 insertions(+), 6 deletions(-) diff --git a/codes/classical/analog/analog.yml b/codes/classical/analog/analog.yml index 2c5475b6e..22488c5d3 100644 --- a/codes/classical/analog/analog.yml +++ b/codes/classical/analog/analog.yml @@ -69,6 +69,8 @@ features: notes: - 'Database of sphere packings \cite{manual:{Agrell, E. "Database of sphere packings, 2019." Online: http://codes. se/packings. Accessed (2015).}}.' + - 'See Refs. \cite{doi:10.1109/18.720549,arXiv:cs/0611112} for reviews of sphere packing.' + relations: parents: diff --git a/codes/classical/bits/cyclic/golay.yml b/codes/classical/bits/cyclic/golay.yml index 4858467ca..163d391d9 100644 --- a/codes/classical/bits/cyclic/golay.yml +++ b/codes/classical/bits/cyclic/golay.yml @@ -14,6 +14,7 @@ description: | A \([23, 12, 7]\) perfect binary linear code with connections to various areas of mathematics, e.g., lattices \cite{doi:10.1007/978-1-4757-6568-7} and sporadic simple groups \cite{preset:MacSlo}. Adding a parity bit to the code results in the \([24, 12, 8]\) \textit{extended Golay code}. Up to equivalence, both codes are unique for their respective parameters. To construct the Golay code, one can use the great dodecahedron to generate codewords by placing message bits on the faces and calculating the parity bits that live on the 12 vertices of the inner icosahedron. + See \cite[Table II]{doi:10.1109/18.720549} for a generator matrix. # One form of the generator matrix for the extended Golay code is \((I|A)\), where # \begin{align} diff --git a/codes/classical/ecc.yml b/codes/classical/ecc.yml index 591877147..bfef2cdfe 100644 --- a/codes/classical/ecc.yml +++ b/codes/classical/ecc.yml @@ -18,6 +18,7 @@ features: notes: - 'See Ref. \cite{doi:10.1090/conm/634/12692} for a list of open problems in coding theory.' + - 'See Refs. \cite{doi:10.1109/18.720549,arXiv:cs/0611112} for reviews of coding theory.' relations: parents: diff --git a/codes/classical/spherical/lattice_shell/lattice_shell.yml b/codes/classical/spherical/lattice_shell/lattice_shell.yml index ce708ac6d..56a1eaed0 100644 --- a/codes/classical/spherical/lattice_shell/lattice_shell.yml +++ b/codes/classical/spherical/lattice_shell/lattice_shell.yml @@ -8,7 +8,7 @@ physical: spheres logical: reals name: 'Lattice-shell code' -introduced: '\cite{doi:10.1109/TIT.1981.1056351}' +introduced: '\cite{doi:10.1109/TIT.1981.1056351,doi:10.1109/18.265491}' description: | Spherical code whose codewords are scaled versions of points on a lattice. diff --git a/codes/classical_into_quantum/oscillators/coherent_state/coherent_state_c-q.yml b/codes/classical_into_quantum/oscillators/coherent_state/coherent_state_c-q.yml index c52b4aef7..290f92239 100644 --- a/codes/classical_into_quantum/oscillators/coherent_state/coherent_state_c-q.yml +++ b/codes/classical_into_quantum/oscillators/coherent_state/coherent_state_c-q.yml @@ -32,14 +32,14 @@ description: | Optimal unambiguous state discrimination requires each vector to be linearly independent, which corresponds to a full-rank codebook. This is possible only if \(K \leq n\). - Optimal receiver performance in ambiguous state discrimination is determined using the \textit{Yuen-Kennedy-Lax (YKL) conditions} \cite{doi:10.1109/TIT.1975.1055351}. - See review \cite{doi:10.1116/5.0036959} for details on receivers used for coherent-state c-q codes. - features: rate: 'Random Gaussian-distributed coherent-state c-q codes achieve the capacity of the lossy bosonic channel \cite{arxiv:quant-ph/0308012}.' decoders: + - 'Optimal receiver performance in ambiguous state discrimination is determined using the \textit{Yuen-Kennedy-Lax (YKL) conditions} \cite{doi:10.1109/TIT.1975.1055351}. + See review \cite{doi:10.1116/5.0036959} for details on receivers used for coherent-state c-q codes.' - 'Joint-detection receiver that can attain channel capacity \cite{arxiv:1101.1550}.' - 'Various near-optimal receiver designs that can handle arbitrary constellations of coherent states with possible degeneracies \cite{arxiv:2109.00008}.' + - 'The \textit{square-root measurement} is optimal for geometrically uniform constellations \cite{arxiv:quant-ph/0005132,arxiv:quant-ph/0211111,arxiv:2203.09822}.' realizations: - 'Continuous-variable quantum key distribution (CV-QKD) \cite{arxiv:quant-ph/9907073,arxiv:quant-ph/0109084,arxiv:quant-ph/0312016}.' diff --git a/codes/classical_into_quantum/oscillators/coherent_state/psk/quantum_bpsk.yml b/codes/classical_into_quantum/oscillators/coherent_state/psk/quantum_bpsk.yml index 12786f9bd..75cb5bed5 100644 --- a/codes/classical_into_quantum/oscillators/coherent_state/psk/quantum_bpsk.yml +++ b/codes/classical_into_quantum/oscillators/coherent_state/psk/quantum_bpsk.yml @@ -32,7 +32,7 @@ realizations: - 'Communication over dephasing \cite{arxiv:1907.12515}, time-varying phase-noise \cite{doi:10.1103/PhysRevResearch.2.023384}, and thermal-noise \cite{arxiv:2007.11109} channels.' - 'Adaptive decoder using displacements and photon detection \cite{arxiv:2207.12234}.' - 'Superconducting circuits: a bit-flip time of 1s has been achieved for the two-legged cat code in the classical-bit regime \cite{arxiv:2204.09128}.' - + - 'BPQM detector on a BPSK-modulated tree code \cite{arxiv:2102.13052}.' relations: parents: diff --git a/codes/classical_into_quantum/qubits/qubit_classical_into_quantum.yml b/codes/classical_into_quantum/qubits/qubit_classical_into_quantum.yml index c4f698626..d743fc9b5 100644 --- a/codes/classical_into_quantum/qubits/qubit_classical_into_quantum.yml +++ b/codes/classical_into_quantum/qubits/qubit_classical_into_quantum.yml @@ -13,7 +13,11 @@ description: | Qubit code designed for transmission of classical information in the form of bits through non-classical channels. protection: | - Performance of a linear binary code over a channel is dual to the performance of its dual over a particular dual channel \cite{arxiv:1701.05583}. + Performance of a linear binary code over a channel is dual to the performance of its dual over a particular dual channel \cite{arxiv:1701.05583}. + +features: + decoders: + - 'BP with quantum messages (BPQM) decoder \cite{arxiv:2207.04984,arxiv:2003.04356,doi:10.1109/MBITS.2023.3285848}.' relations: parents: