diff --git a/codes/quantum/qubits/small_distance/small/shor_nine.yml b/codes/quantum/qubits/small_distance/small/shor_nine.yml index 15f2cb530..ea29ebe39 100644 --- a/codes/quantum/qubits/small_distance/small/shor_nine.yml +++ b/codes/quantum/qubits/small_distance/small/shor_nine.yml @@ -50,6 +50,8 @@ description: | protection: 'The code detects two-qubit errors or corrects an arbitrary single-qubit error.' features: + encoders: + - 'Fault-tolerant logical zero and logical plus state preparation \cite{arxiv:2402.17761}.' decoders: - 'Bit- and phase-flip circuits utilize CNOT and Hadamard gates (\cite{doi:10.1201/9781420012293}, Fig. 10.6).' fault_tolerance: diff --git a/codes/quantum/qubits/small_distance/small/stab_5_1_3.yml b/codes/quantum/qubits/small_distance/small/stab_5_1_3.yml index 9ff014524..2c23fcfdd 100644 --- a/codes/quantum/qubits/small_distance/small/stab_5_1_3.yml +++ b/codes/quantum/qubits/small_distance/small/stab_5_1_3.yml @@ -37,10 +37,10 @@ features: - 'Four generalized control gates, four Hadamard, and one \(Z\) gate \cite[Fig. 10.16]{doi:10.1201/9781420012293}.' - 'Four CNOT and five CPHASE gates \cite{arxiv:1509.01239}.' - 'Reinforcement learning encoding circuits \cite{arxiv:2402.17761}.' + - 'Fault-tolerant logical one and logical minus state preparation in all-to-all and 2D grid connectivity \cite{arxiv:2402.17761}.' transversal_gates: - - 'Pauli gates are transversal, along with a non-Pauli Hadamard-phase gate \(SH\) and three-qubit Clifford operation \(M_3\) \cite{arxiv:quant-ph/9702029,arxiv:quant-ph/9705052}. - These realize the \(2T\) binary tetrahedral subgroup of \(SU(2)\).' + - 'Pauli gates are transversal, along with a non-Pauli Hadamard-phase gate \(SH\) and three-qubit Clifford operation \(M_3\) \cite{arxiv:quant-ph/9702029,arxiv:quant-ph/9705052}. These realize the \(2T\) binary tetrahedral subgroup of \(SU(2)\).' - 'The code does not admit any non-Clifford transversal gates \cite{arxiv:quant-ph/9704043}; in particular, see \cite{arxiv:2011.00197} for the case of collective \(Z\) rotations.' - 'All transversal gates can be interpreted as monodromies under a particular notion of parallel transport \cite[Exam. 6.4.2]{arxiv:1309.7062}.' @@ -57,8 +57,7 @@ features: fault_tolerance: - 'Pieceable fault-tolerant CZ, CNOT, and CCZ gates \cite{arxiv:1603.03948}.' - - 'Syndrome measurement can be done with two ancillary flag qubits \cite{arxiv:1705.02329}. - The depth of syndrome extraction circuits can be lowered by using past syndrome values \cite{arxiv:2305.00784}.' + - 'Syndrome measurement can be done with two ancillary flag qubits \cite{arxiv:1705.02329}. The depth of syndrome extraction circuits can be lowered by using past syndrome values \cite{arxiv:2305.00784}.' - 'Fault-tolerant logical one and logical minus state preparation in all-to-all and 2D grid connectivity \cite{arxiv:2402.17761}.' realizations: diff --git a/codes/quantum/qubits/small_distance/small/steane/steane.yml b/codes/quantum/qubits/small_distance/small/steane/steane.yml index e92bacf68..b7eaa1c16 100644 --- a/codes/quantum/qubits/small_distance/small/steane/steane.yml +++ b/codes/quantum/qubits/small_distance/small/steane/steane.yml @@ -57,6 +57,7 @@ protection: 'The Steane code is a distance 3 code. It detects errors on 2 qubits features: encoders: - 'Nine CNOT and four Hadamard gates (\cite{doi:10.1201/9781420012293}, Fig. 10.14).' + - 'Fault-tolerant logical zero and logical plus state preparation on all-to-all and 2D grid qubit connectivity \cite{arxiv:2402.17761}.' transversal_gates: - 'All single-qubit Clifford gates, which realize the \(2O\) binary octahedral subgroup of \(SU(2)\) \cite{arxiv:quant-ph/9605011,arxiv:0706.1382}.' diff --git a/codes/quantum/qubits/stabilizer/topological/color/3d_color/stab_15_1_3.yml b/codes/quantum/qubits/stabilizer/topological/color/3d_color/stab_15_1_3.yml index 00bf06a55..a7cdd3c34 100644 --- a/codes/quantum/qubits/stabilizer/topological/color/3d_color/stab_15_1_3.yml +++ b/codes/quantum/qubits/stabilizer/topological/color/3d_color/stab_15_1_3.yml @@ -20,6 +20,9 @@ description: | The logical \(X\) is any weight-7 \(X\)-face of the entire tetrahedron. features: + encoders: + - 'Fault-tolerant logical zero and logical plus state preparation \cite{arxiv:2402.17761}.' + magic_scaling_exponent: 'Magic-state yield parameter \( \gamma= \log_d (n/k)\approx 2.47\) \cite[Box 2]{arxiv:1612.07330}\cite{arxiv:1703.07847}.' transversal_gates: @@ -34,8 +37,8 @@ features: - 'Numerical study of concatenated thresholds of logical CNOT gates for various codes against depolarizing noise \cite{arxiv:0711.1556}.' fault_tolerance: - - 'Fault-tolerant logical zero and logical plus state preparation \cite{arxiv:2402.17761}.' - 'A fault-tolerant universal gate set can be done via code switching between the Steane code and the \([[15,1,3]]\) code \cite{arxiv:1304.3709,arxiv:1403.2734,arxiv:1703.03860,arxiv:2210.14074}.' + - 'Fault-tolerant logical zero and logical plus state preparation \cite{arxiv:2402.17761}.' relations: diff --git a/codes/quantum/qubits/stabilizer/topological/surface/2d_surface/surface-17.yml b/codes/quantum/qubits/stabilizer/topological/surface/2d_surface/surface-17.yml index 298cd87eb..a58619519 100644 --- a/codes/quantum/qubits/stabilizer/topological/surface/2d_surface/surface-17.yml +++ b/codes/quantum/qubits/stabilizer/topological/surface/2d_surface/surface-17.yml @@ -19,6 +19,9 @@ protection: | Admits \hyperref[topic:pseudo-threshold]{pseudo-thresholds} of \(\sim 10^{-4}\) under depolarizing noise. features: + encoders: + - 'Measurement-free fault-tolerant logical zero state preparation in nearest-neighbor qubit connectivity \cite{arxiv:2303.17211}.' + - 'Fault-tolerant logical zero and logical plus state preparation in all-to-all and 2D grid connectivity with flag qubits \cite{arxiv:2402.17761}.' transversal_gates: - 'Pauli gates, CNOT gate, and \(H\) gate (with relabeling).' decoders: