Thermodynamics of Structural Persistence (Topological Memory)

In the paper's words

The prevailing paradigm in quantum information preservation—active intervention—relies on continuous, energy-intensive error correction cycles to suppress entropic decay. This approach faces a fundamental scaling limitation: the latency horizon, where the time delay of the control loop exceeds the coherence time of the system, transforming negative feedback into destabilizing positive feedback. In this manuscript, we propose and validate an alternative paradigm: structural persistence, utilizing high-barrier topological phases (information fossils) to store information passively.

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

1. Tomita and Svore (2014) refined these estimates by calculating the fault-tolerance thresholds for distance-three surface codes under realistic noise models, finding that the logical error rate is exponentially suppressed only if the physical error rate is below a critical value, typically around 1%.

   from 2.1

2. Delfosse and Nickerson (2021) showed that their fast decoders could achieve a high threshold of around 9.9% for the 2D toric code under phenomenological noise.

   from 2.4

3. A stochastic model might accurately predict that a system has a mean time to failure (MTTF) of 100 seconds, but it cannot tell you that the failure is always caused by a specific $Z$-rotation at $t=99$ seconds.

   from 2.2

4. The simulation results suggest that if the total loop delay exceeds 10% of the natural coherence time, no amount of algorithmic sophistication or gain increasing can save the qubit.

   from 4.2 The Stability

5. Every joule dissipated at $10mK$ requires thousands of joules of cooling power at room temperature.

   from 4.3 Holding Cost Divergence

6. During the 2.0 seconds where the barrier is lowered to $1.0$, the Fossil is effectively an Active bit (without the correction).

   from 4.5 The Cost of

How it is done

1. This approach faces a fundamental scaling limitation: the latency horizon, where the time delay of the control loop exceeds the coherence time of the system, transforming negative feedback into destabilizing positive feedback.

   from Latency

2. The theoretical foundation for this energetic constraint is firmly established by Landauer’s principle, which dictates the absolute lower bound of heat dissipation required for logical irreversibility.

   from 1.1 The

3. The decoding algorithm must sift through this massive combinatorics space to identify the most likely error chain, a task that effectively becomes a high-dimensional optimization problem that must be solved in real-time.

   from 1.2 The Latency

4. This stochastic phenomenologist perspective simplifies the mathematical treatment of errors, allowing for the use of powerful statistical tools like the Central Limit Theorem and Markov chains to predict system lifetimes.

   from 1.3 Stochastic

What would falsify it

1. It predicts that the crossover exists and roughly where it lies, even if the precise numerical value of the critical noise requires experimental calibration.

   from 5.6 Limitations of the

2. This stochastic phenomenologist perspective simplifies the mathematical treatment of errors, allowing for the use of powerful statistical tools like the Central Limit Theorem and Markov chains to predict system lifetimes.

   from 1.3 Stochastic

3. A stochastic model might accurately predict that a system has a mean time to failure (MTTF) of 100 seconds, but it cannot tell you that the failure is always caused by a specific $Z$-rotation at $t=99$ seconds.

   from 2.2

Where the claim stops

1. We do not merely simulate the survival of a static state; we simulate the entire lifecycle of a bit, from the energy-intensive write operation to the zero-energy hold phase.

   from 1.7 Research Scope:

2. Critics correctly pointed out that a “frozen” fossil cannot compute.

   from 1.7 Research Scope:

3. You cannot simply “move” data from a fossil to a processor without complex teleportation protocols.

   from 1.7 Research Scope:

Where to read

1. Latency242 words · 1 min
2. 1.0 INTRODUCTION & PROBLEM5,225 words · 23 min
3. 2.0 LITERATURE REVIEW5,433 words · 24 min
4. 3.0 METHODOLOGY1,737 words · 8 min
5. 4.0 ANALYSIS & RESULTS4,304 words · 19 min
6. 5.0 SYNTHESIS & DISCUSSION4,986 words · 22 min