We implement the DiVincenzo-Shor 5 qubit quantum error correcting code into a solid-state quantum register. The quantum register is a multi charge-qubit system in a semiconductor environment, where the main sources of noise are phase decoherence and relaxation. We evaluate the decay of the density matrix for this multi-qubit system and perform regular quantum error corrections. The performance of the error correction in this realistic system is found to yield an improvement of the fidelity. The fidelity can be maintained arbitrarily close to one by sufficiently increasing the frequency of error correction. This opens the door for arbitrarily long quantum computations.We implement the DiVincenzo-Shor 5 qubit quantum error correcting code into a solid-state quantum register. The quantum register is a multi charge-qubit system in a semiconductor environment, where the main sources of noise are phase decoherence and relaxation. We evaluate the decay of the density matrix for this multi-qubit system and perform regular quantum error corrections. The performance of the error correction in this realistic system is found to yield an improvement of the fidelity. The fidelity can be maintained arbitrarily close to one by sufficiently increasing the frequency of error correction. This opens the door for arbitrarily long quantum computations.

arXiv:1010.3242Oct 15, 20103 citations

The dawn of error correction with spin qubits

André Saraiva, Stephen D. Bartlett

Nature MaterialsNov 14, 20221 citation

THE ARCHITECTURE OF DECOHERENCE: Biological Qubits, Thermodynamic Friction, and the HEPOE Limit in Quantum Computing

Sidnei Brezolin de Freitas, Camila Leão de Matos Brezolin

ABSTRACT The pursuit of quantum supremacy is currently bottlenecked not merely by engineering constraints, but by the fundamental thermodynamic limits of error correction and decoherence. While contemporary hardware engineering approaches this instability primarily as a challenge of cryogenic isolation, we propose a paradigm shift by bridging quantum information science with neurocomputational thermodynamics. By applying the High Entropy Predictive Organization Efficiency (HEPOE) framework to quantum architecture, we propose that the biological Sentinel Phenotype acts as a macro-scale analogue to quantum superposition, maintaining predictive hyper-coherence at a massive metabolic cost. Furthermore, we establish a structural isomorphism between neurodivergent architectures and quantum bit (qubit) instability. We map thermodynamic impedance, analogous to the P-FIT bus resistance and data overload in the Autism Spectrum phenotype, onto the quantum noise that necessitates massive error-correction overheads. Simultaneously, we map flux oscillation, analogous to dopaminergic volatility in the ADHD architecture, onto quantum phase-flip errors and electromagnetic instability. Ultimately, we demonstrate that Landauer’s Principle dictates an inescapable thermal boundary for both high-fidelity biological systems and scalable quantum networks, offering a unified biophysical theory of universal high-fidelity computation. Keywords: HEPOE Theory. Quantum Decoherence. Biological Qubits. Landauer’s Principle. Thermodynamic Impedance. Quantum Error Correction (QEC). Sentinel Phenotype. Phase-Flip Errors.ABSTRACT The pursuit of quantum supremacy is currently bottlenecked not merely by engineering constraints, but by the fundamental thermodynamic limits of error correction and decoherence. While contemporary hardware engineering approaches this instability primarily as a challenge of cryogenic isolation, we propose a paradigm shift by bridging quantum information science with neurocomputational thermodynamics. By applying the High Entropy Predictive Organization Efficiency (HEPOE) framework to quantum architecture, we propose that the biological Sentinel Phenotype acts as a macro-scale analogue to quantum superposition, maintaining predictive hyper-coherence at a massive metabolic cost. Furthermore, we establish a structural isomorphism between neurodivergent architectures and quantum bit (qubit) instability. We map thermodynamic impedance, analogous to the P-FIT bus resistance and data overload in the Autism Spectrum phenotype, onto the quantum noise that necessitates massive error-correction overheads. Simultaneously, we map flux oscillation, analogous to dopaminergic volatility in the ADHD architecture, onto quantum phase-flip errors and electromagnetic instability. Ultimately, we demonstrate that Landauer’s Principle dictates an inescapable thermal boundary for both high-fidelity biological systems and scalable quantum networks, offering a unified biophysical theory of universal high-fidelity computation. Keywords: HEPOE Theory. Quantum Decoherence. Biological Qubits. Landauer’s Principle. Thermodynamic Impedance. Quantum Error Correction (QEC). Sentinel Phenotype. Phase-Flip Errors.

Jun 28, 20260 citations

Probing Qubit Memory Errors at the Part-per-Million Level

M. A. Sepiol, A. C. Hughes, J. E. Tarlton +7 more

Robust qubit memory is essential for quantum computing, both for near-term devices operating without error correction, and for the long-term goal of a fault-tolerant processor. We directly measure the memory error ${\ensuremath{\epsilon}}_{m}$ for a $^{43}{\mathrm{Ca}}^{+}$ trapped-ion qubit in the small-error regime and find ${\ensuremath{\epsilon}}_{m}<{10}^{\ensuremath{-}4}$ for storage times $t\ensuremath{\lesssim}50\text{ }\text{ }\mathrm{ms}$. This exceeds gate or measurement times by three orders of magnitude. Using randomized benchmarking, at $t=1\text{ }\text{ }\mathrm{ms}$ we measure ${\ensuremath{\epsilon}}_{m}=1.2(7)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$, around ten times smaller than that extrapolated from the ${T}_{2}^{*}$ time, and limited by instability of the atomic clock reference used to benchmark the qubit.Robust qubit memory is essential for quantum computing, both for near-term devices operating without error correction, and for the long-term goal of a fault-tolerant processor. We directly measure the memory error ${\ensuremath{\epsilon}}_{m}$ for a $^{43}{\mathrm{Ca}}^{+}$ trapped-ion qubit in the small-error regime and find ${\ensuremath{\epsilon}}_{m}<{10}^{\ensuremath{-}4}$ for storage times $t\ensuremath{\lesssim}50\text{ }\text{ }\mathrm{ms}$. This exceeds gate or measurement times by three orders of magnitude. Using randomized benchmarking, at $t=1\text{ }\text{ }\mathrm{ms}$ we measure ${\ensuremath{\epsilon}}_{m}=1.2(7)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$, around ten times smaller than that extrapolated from the ${T}_{2}^{*}$ time, and limited by instability of the atomic clock reference used to benchmark the qubit.

arXiv:1905.06878Physical Review LettersSep 13, 201931 citations

Error Correction for Quantum Computers

WORLD SCIENTIFIC eBooksJul 1, 19980 citations

^{43}{\mathrm{Ca}}^{+}

trapped-ion qubit in the small-error regime and find ${\ensuremath{\epsilon}}_{m}<{10}^{\ensuremath{-}4}$ for storage times $t\ensuremath{\lesssim}50\text{ }\text{ }\mathrm{ms}$. This exceeds gate or measurement times by three orders of magnitude. Using randomized benchmarking, at

t=1\text{ }\text{ }\mathrm{ms}

we measure ${\ensuremath{\epsilon}}_{m}=1.2(7)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}$, around ten times smaller than that extrapolated from the

{T}_{2}^{*}

time, and limited by instability of the atomic clock reference used to benchmark the qubit.