A new family of magic state distillation protocols based on logical Clifford error checking achieves near-linear asymptotic rate despite overhead exponent exceeding one, showing the quantities are not tightly coupled in the sublinear regime.
Magic-state distillation with the four-qubit code
6 Pith papers cite this work, alongside 2 external citations. Polarity classification is still indexing.
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abstract
The distillation of magic states is an often-cited technique for enabling universal quantum computing once the error probability for a special subset of gates has been made negligible by other means. We present a routine for magic-state distillation that reduces the required overhead for a range of parameters of practical interest. Each iteration of the routine uses a four-qubit error-detecting code to distill the +1 eigenstate of the Hadamard gate at a cost of ten input states per two improved output states. Use of this routine in combination with the 15-to-1 distillation routine described by Bravyi and Kitaev allows for further improvements in overhead.
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quant-ph 6representative citing papers
A borrowed-identity condition unifies magic-state distillation across Clifford levels and output types, recovering all known distance-2 factories in one search and enabling malleable parent circuits.
Non-Hermitian and dissipative dynamics engineer magic steady states in qubits that attract every initial state to high-magic targets.
Local 2D and 3D Reed-Muller distillation factories achieve output infidelities down to 8.256e-9 for CCZ states and 1.1811e-17 for T states from 10^{-3} input infidelity.
Resource estimation for magic-state distillation on silicon spin qubits finds 42% overhead reduction via optimized pulses and ~3x physical footprint reduction with biased codes versus surface code.
Compares resource costs of logical T-state preparation via distillation, cultivation, and code switching using native metrics from existing literature plus a Shor factoring case study.
citing papers explorer
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Asymptotic magic state distillation with almost linear rate
A new family of magic state distillation protocols based on logical Clifford error checking achieves near-linear asymptotic rate despite overhead exponent exceeding one, showing the quantities are not tightly coupled in the sublinear regime.
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Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search
A borrowed-identity condition unifies magic-state distillation across Clifford levels and output types, recovering all known distance-2 factories in one search and enabling malleable parent circuits.
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Magic Steady State Production: Non-Hermitian, Dissipative, and Stochastic Pathways
Non-Hermitian and dissipative dynamics engineer magic steady states in qubits that attract every initial state to high-magic targets.
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Local distillation from Reed Muller codes unfolding
Local 2D and 3D Reed-Muller distillation factories achieve output infidelities down to 8.256e-9 for CCZ states and 1.1811e-17 for T states from 10^{-3} input infidelity.
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Hardware-Tailored Resource Estimation for Magic-State Distillation on Silicon Spin Qubits
Resource estimation for magic-state distillation on silicon spin qubits finds 42% overhead reduction via optimized pulses and ~3x physical footprint reduction with biased codes versus surface code.
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A Resource Comparison of Logical T-State Preparation
Compares resource costs of logical T-state preparation via distillation, cultivation, and code switching using native metrics from existing literature plus a Shor factoring case study.