Author

Isaac Barouch Essayag

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Preprint Aug 2026

From Round-Trip State Echo to Error Recovery: Snapshot-Resolved Quantum-Hardware Diagnostics

Quantum-hardware scores vary across workloads and execution times. We study these variations through repeated communication and deletion-recovery experiments on superconducting and trapped-ion hardware. Our opening test is round-trip state echo (RTSE): prepare one of four tetrahedral qubit states, move it along a route...

Isaac Barouch Essayag, Aryeh Lev Zabokritskiy · 0 citations

Preprint Aug 2026

The Exact Second Generalized Covering Radius of Binary Primitive Triple-Error-Correcting BCH Codes

Let $C_m:=\mathrm{BCH}(3,m)$ be the binary primitive triple-error-correcting BCH code of length $2^m-1$. We determine its second generalized covering radius exactly: $R_2(C_m)=8$ for every $m\geq5$. Equivalently, every two-dimensional syndrome subspace is contained in the binary span of at most eight parity-check colum...

Isaac Barouch Essayag, Aryeh Lev Zabokritskiy · 6 citations

Preprint Sep 2026

Auxiliary Codes and the Generalized Packing-Covering Conjecture

The generalized packing--covering conjecture asks whether, at every order, the packing radius of a linear code is at most its covering radius. We prove the conjecture for every linear code of redundancy at most fourteen over every finite field, extending the previously established range of redundancies at most seven. W...

Isaac Barouch Essayag, Aryeh Lev Zabokritskiy · 2 citations · ⚡1