دسته بندی:

محاسبات کوانتومی - Quantum-Computing

---

سال انتشار:

2022

---

عنوان انگلیسی مقاله:

Oscillator-to-Oscillator Codes Do Not Have a Threshold

---

ترجمه فارسی عنوان مقاله:

کدهای نوسان ساز به نوسان ساز آستانه ندارند

---

منبع:

ieee - ieee Transactions on Information Theory;2022;68;2;10:1109/TIT:2021:3126881

---

نویسنده:

Lisa Hanggli; Robert Konig

---

چکیده انگلیسی:

It is known that continuous variable quantum information cannot be protected against naturally occurring noise using Gaussian states and operations only. Noh et al. proposed bosonic oscillator-to-oscillator codes relying on nonGaussian resource states as an alternative, and showed that these encodings can lead to a reduction of the effective error strength at the logical level as measured by the variance of the classical displacement noise channel. An oscillator-to-oscillator code embeds K logical bosonic modes (in an arbitrary state) into N physical modes by means of a Gaussian N-mode unitary and N-K auxiliary one-mode Gottesman-Kitaev-Preskill-states. Here we ask if – in analogy to qubit error-correcting codes – there are families of oscillator-to-oscillator codes with the following threshold property: They allow to convert physical displacement noise with variance below some threshold value to logical noise with variance upper bounded by any (arbitrary) constant. We find that this is not the case if encoding unitaries involving a constant amount of squeezing and maximum likelihood error decoding are used. We show a general lower bound on the logical error probability which is only a function of the amount of squeezing and independent of the number of modes. As a consequence, any physically implementable family of oscillator-to-oscillator codes combined with maximum likelihood error decoding does not admit a threshold.
Index Terms: Bosonic codes | continuous-variable quantum information | fault-tolerance threshold | modulo reduced Gaussian vectors | quantum error correction | quantum fault-tolerance.

---

---

قیمت: رایگان

---

توضیحات اضافی:

---

---

---