Golay codes and quantum contextuality

نویسندگان

چکیده

It is shown that the codewords of binary and ternary Golay codes can be converted into rays in ${\mathbb{RP}}^{23}$ ${\mathbb{RP}}^{11}$ provide proofs Kochen-Specker theorem real state spaces dimensions 24 12, respectively. Some implications these results are discussed.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Golay Codes

We discuss a specific type of error-control coding using Golay codes. First we introduce the basics of coding. Then we discuss the Golay code in binary form, extended binary form, and ternary form.

متن کامل

Decoherence and quantum contextuality

Decoherence is the most widely accepted mechanism to explain the loss of coherence in quantum systems. Here we show how simple (quantum) trajectory–based models can help to understand the physics behind decoherence processes. In particular, we will analyze with these models the relationship between decoherence and quantum contextuality in the double–slit experiment, where two (quantum) contexts...

متن کامل

“Haunted” quantum contextuality

Two entangled particles in threedimensional Hilbert space (per particle) are considered in an EPR-type arrangement. On each side the Kochen-Specker observables {J 1 , J 2 2 , J 2 3 } and {J̄ 2 1 , J̄ 2 2 , J 2 3 } with [J 2 1 , J̄ 2 1 ] 6= 0 are measured. The outcomes of measurements of J 3 (via J 2 1 , J 2 2 ) and J 2 3 (via J̄ 1 , J̄ 2 2 ) are compared. We investigate the possibility that, althoug...

متن کامل

Quantum computation, discreteness, and contextuality

We establish a link between contextuality of quantum mechanics and quantum-mechanical computation. Specifically, we show that no deterministic measurement-based quantum computation evaluating a non-linear function can be described by a non-contextual hidden-variable model. We give examples for such computations derived from quantum codes with suitable transversality properties, and from a count...

متن کامل

Contextuality, decoherence and quantum trajectories

Here we analyze the relationship between quantum contextuality and decoherence in interference experiments with matter particles by means of a simple reduced quantum-trajectory model, which attempts to simulate the behavior of the projections of multi-dimensional, system-plus-environment Bohmian trajectories onto the subspace of the reduced system. This model allows us to understand the crossin...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review A

سال: 2022

ISSN: ['1538-4446', '1050-2947', '1094-1622']

DOI: https://doi.org/10.1103/physreva.106.062421