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quant-ph2026
Constant-Overhead Injection into Quantum Codes
Louis Golowich, Venkatesan Guruswami
We construct the first known fault-tolerant scheme for injecting states into quantum error-correcting codes with constant space and time overhead. That is, we construct a family of…
quant-ph2026
Improved Transversal Non-Clifford Gates from Cup Products
Louis Golowich, Itzhak Tamo, Guanyu Zhu
It is a major challenge in quantum fault-tolerance to obtain low-overhead protocols for performing non-Clifford gates. In this vein, we construct quantum codes with low-weight stab…
quant-ph2026
Fault-Tolerant Quantum Computation with Adversarial Errors
Nikolas P. Breuckmann, Louis Golowich, Umesh Vazirani
We prove a fault-tolerance theorem for quantum computation against adversarial noise. For every quantum circuit on logical qudits of depth , we construct a fault…