Quantum codes from constacyclic codes over $S_{k}$

Abstract

Let $S_{k}={\mathbb{F}}_{q}[u_{1},u_{2},\ldots ,u_{k}]/\langle u^{3}_{i}=u_{i},u_{i}u_{j}=u_{j}u_{i}=0 \rangle $ S k = F q [ u 1 , u 2 , … , u k ] / 〈 u i 3 = u i , u i u j = u j u i = 0 〉 , where $1\leq i,j\leq k$ 1 ≤ i , j ≤ k , $q=p^{m}$ q = p m , p is an odd prime. First, we define two new Gray maps $\phi _{k}$ ϕ k and $\varphi _{k}$ φ k , and study their Gray images. Further, we determine the structure of constacyclic codes and their dual codes, and give a necessary and sufficient conditions of constacyclic codes to contain their duals. Finally, we obtain some new quantum codes over $\mathbb{F}_{q}$ F q by using CSS construction, and compare the constructed codes better than the existing literature.

SN 2023ixf in Messier 101: The Twilight Years of the Progenitor as Seen by Pan-STARRS

“…Around 30% of SNe II show these flash-ionization features in addition to steep rises to peak, indicative of shock breakout out of a dense CSM (Förster et al 2018;Bruch et al 2021). Similar early time interaction is seen in SN 2023ixf (Berger et al 2023;Bostroem et al 2023;Chandra et al 2023;Grefenstette et al 2023;Jacobson-Galán et al 2023;Kong 2023;Mereminskiy et al 2023;Panjkov et al 2023;Smith et al 2023). The presence of flash-ionization features in CCSNe suggests enhanced mass-loss rates in addition to supergiant winds in the final years of the life of their progenitors.…”

“…The discovery of SN 2023ixf led to a sustained spectroscopic and photometric follow-up effort (e.g., Berger et al 2023;Bostroem et al 2023;Jacobson-Galán et al 2023;Sgro et al 2023;Smith et al 2023). To date, these multiwavelength follow-up observations and archival data examination have revealed detections of a dusty RSG progenitor and signatures of interaction with circumstellar material (e.g., Berger et al 2023;Bostroem et al 2023;Grefenstette et al 2023;Guetta et al 2023;Hiramatsu et al 2023;Jacobson-Galán et al 2023;Jencson et al 2023;Kilpatrick et al 2023;Koenig 2023;Kong 2023;Li et al 2023;Neustadt et al 2024;Niu et al 2023;Panjkov et al 2023;Pledger & Shara 2023;Qin et al 2023;Sarmah 2023;Singh Teja et al 2023;Smith et al 2023;Soraisam et al 2023;Van Dyk et al 2023;Vasylyev et al 2023;Xiang et al 2024;Yamanaka et al 2023;Zhang et al 2023).…”

Co-Design of Quantum Hardware and Algorithms in Nuclear and High Energy Physics

“…Various vendors are currently researching and developing multiple technologies to implement QPUs, including, for example, trapped ions [28], neutral atoms [29,30], superconducting transmons [31], or photonic systems [32]. As shown in Figure 1, a large share of the NHEP literature focuses on conceptual quantum algorithms and does not consider the influence of hardware implementations.…”

“…For transmon systems, we considered quantum devices from IBM, where we obtained the metrics from the quantum framework Qiskit[33], which provides snapshots of IBM quantum systems[31]. The values for trappedion systems were extracted for quantum devices from IonQ[28] and for neutral atom systems from Ref [30]2.…”

Circumstellar interaction models for the early bolometric light curve of SN 2023ixf

“…At the same time, the analysis of the progenitor variability implies an initially more massive star of M ZAMS = 20 ± 4 M (Soraisam et al 2023), while the study of the stellar populations in the vicinity of the site of explosion of SN 2023ixf infers a progenitor initial mass of M ZAMS = 17−19 M (Niu et al 2023). The progenitor could not be detected in X-rays and ultraviolet (UV) pre-explosion images (Kong 2023;Matsunaga et al 2023;Basu et al 2023). Preexplosion observations disfavour the presence of outbursts in the last ∼20 yr (Jencson et al 2023;Dong et al 2023;Neustadt et al 2024), although a low-luminosity outburst might not alter the dust optical depth enough to become detectable (Hiramatsu et al 2023;Neustadt et al 2024).…”