262 research outputs found
KAJIAN MAKNA LUKISAN EKSPRESIONIS AFFANDI
Affandi is Indonesiaβs most outstanding painter. An exprecionist master, his work have puIndonesia on the map of international art. He embodies throught his work the successful aculturationbetween Indonesian and western artistic inputs. His painting give Indonesian artistic tradition, whichpervade all his life and works, a totally new expressive language. When faced with hardship, that oyouth in a county under the yoke of the colonizer, his answer has always been to work and work moreHe thus became an artist addicted to his art. The subject of this writing is to study Affandiβs peculliaapproach toward the problems of form, function and meaning-by form is meant the visual aspect of hiwork; by function their use and utility; and by meaning their content. With regard to the theoriticaframework a combination of art theory, aesthetic, cultural theory, theory of symbols and functionalismis called upon when relevant. The study is qualitative and it is therefore supported by research on theartistβs background, working techniques and processes as well as by research on his work proper. Anevaluation of his influence is also presented
Privacy Preserving Optics Clustering
OPTICS is a well-known density-based clustering algorithm which uses DBSCAN theme without producing a clustering of a data set openly, but as a substitute, it creates an augmented ordering of that particular database which represents its density-based clustering structure. This resulted cluster-ordering comprises information which is similar to the density based clusteringβs conforming to a wide range of parameter settings. The same algorithm can be applied in the field of privacy-preserving data mining, where extracting the useful information from data which is distributed over a network requires preservation of privacy of individualsβ information. The problem of getting the clusters of a distributed database is considered as an example of this algorithm, where two parties want to know their cluster numbers on combined database without revealing one party information to other party. This issue can be seen as a particular example of secure multi-party computation and such sort of issues can be solved with the assistance of proposed protocols in our work along with some standard protocols
LOAD BALANCING FOR BIG DATA ENTITY MATCHING USING BLOCK SPLIT
Entity Matching (EM) is a complex problem and has great impact on data quality. In EM we usually match all the combination of entity pairs using different similarity measures and judge if there is any match between entities. Mapreduce based parallel programing model can be used to match these entities. Even distribution of data into the map and reduce tasks will play vital role in the productivity of Mapreduce based programing model. If the dataset is large and has skewed data, then the distribution should be done effectively to achieve load balancing. In this paper, I have implemented an approach of blocking technique called βBlock Splitβ. Block split will reduce the search space of match tasks by splitting larger blocks into multiple small blocks and process it using mapreduce model. This approach utilizes two mapreduce jobs, one to identify the data distribution in each block and use this distribution to perform the match tasks in the second job. The effectiveness of block split approach is described in terms of βrecallβ and βprecisionβ. To improve recall I iteratively applied blocking of different keys by assigning every input record to different blocks (one per blocking key) and then found matches per blocks. Using this we will most likely find more matches but, we may come across many redundant matches. I have optimized the above approach by using βSignature Based Pair Comparisonβ. We evaluated all our approaches on spark clusters
A Case Study of Turnaround Principal Identification and Selection in One Urban School District
Through a case study approach, this qualitative study examined public school district leadersβ perspectives on turnaround principal competencies and actions. Furthermore, this study explored the strategies for identifying and selecting turnaround principals among district leaders in one district and their perceptions of the challenges associated with turnaround principal shortages. Participant responses were compared to existing, research-based turnaround principal competencies and led to direct reflections of the existing competencies. The research findings indicated that participant perspectives of the competencies associated with turnaround principals reflect existing, research-based competencies. The results also indicated that the participants placed more emphasis on certain competencies than others. Based on participant perspectives, two competencies associated with turnaround principals emerged: belief in children and job affinity.
Finally, the researcher found that while the use of turnaround leader competencies might serve as strong indicators for identifying potential leaders, participants in this study did not utilize competencies in isolation or consistently in practice during selection and identification processes
HOFKER PELUKIS REALIS PENGAGUM EKSOTISME BALI
Seni lukis realis merupakan salah satu stilistik yang berkembang di Indonesia yang banyak digemari oleh para seniman, terlebih lagi pada tahun 40-an. Salah satu seniman yang menekuni stilistik realis adalah Willem Gerrad Hofker asal Amsterdam, Belanda yang sangat tertarik dengan objek wanita Bali dengan segala aktifitas kehidupannya. Sebagai seniman realis, Hofker mengungkapkan realitas objek masyarakat Bali terutama para wanita dengan tatanan busanya. Budaya berbusana wanita Bali seperti yang nampak pada karya Hofker sebenernya merupakan tradisi masyarakat setempat pada 1940-an dan sebelumnya. Budaya seperti itu pada masa sekarang masih dapat dijumpai di daerah pedesaan, terutama generasi tua yang dulunya pernah melewati tradisi berbusana seperti itu. Penampilan berbusana seperti itu tentunya merupakan hal menarik, khas, dan istimewa bagi Hofker
Conservative management of vesicovaginal fistula: a rare case report
Vesicovaginal Fistula is a debilitating condition that has affected women for millinea. Spontaneous closures of VVF with continuous bladder drainage for varying periods have been reported by few authors. Here we present a case of post hysterectomy VVF managed conservatively. A 45 year old parous woman presented with continuous leakage of urine following hysterectomy. The clinical diagnosis of Vesicovaginal Fistula was proven by cystoscopy and CT cystography. VVF healed by continuous bladder drainage for 4 weeks. Non-surgical treatment with continuous bladder drainage can also result in complete healing of small VVFs
Real quantum operations and state transformations
Resource theory of imaginarity provides a useful framework to understand the
role of complex numbers, which are essential in the formulation of quantum
mechanics, in a mathematically rigorous way. In the first part of this article,
we study the properties of ``real'' (quantum) operations both in single-party
and bipartite settings. As a consequence, we provide necessary and sufficient
conditions for state transformations under real operations and show the
existence of ``real entanglement'' monotones. In the second part of this
article, we focus on the problem of single copy state transformation via real
quantum operations. When starting from pure initial states, we completely solve
this problem by finding an analytical expression for the optimal fidelity of
transformation, for a given probability of transformation and vice versa.
Moreover, for state transformations involving arbitrary initial states and pure
final states, we provide a semidefinite program to compute the optimal
achievable fidelity, for a given probability of transformation.Comment: 9 pages. Close to published versio
Π Π΅Π°Π»ΡΠ·Π°ΡΡΡ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΡΡΠ²Π½ΠΎΡΡΡ ΠΏΠ΅ΡΠ΅Π΄ ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΈΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ ΠΏΡΠ΄ ΡΠ°Ρ ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²ΠΎΡ ΠΊΠ²Π°Π»ΡΡΡΠΊΠ°ΡΡΡ Π΄ΡΡΠ½Π½Ρ Π² Π£ΠΊΡΠ°ΡΠ½Ρ
In the article under consideration, the author proves facts in a number of scientific provisions that are important for the practice of criminal law. After analyzing the scientific works on this issue, it was proved, that the study of the principle of equality is relevant given the distorted understanding of the principle in Ukraine. The article proves the thesis about the role of the principle of equality before the criminal law during the crime qualification. They can be described by the following provisions: 1) compliance with the rules of criminal law qualification of the act and application them to persons regardless of their racial, national, social origin, religion, social or political views, professional status, etc .; 2) at the same time, law enforcement bodies during the criminal-legal qualification must take into account both the objective, legal differences of the persons, whose action is qualified, and the individual characteristics of the act itself. Such consideration of objective differences requires Β«differentia equalityΒ». Violations of the principle of equality before the criminal law will be errors or abuses of law enforcement agencies. Such errors or abuses are of two types: 1) different criminal-legal qualification of the act in the case of similar legal situations; 2) the same criminal-legal qualification of the act in the case of different legal situations; 3) ignoring the features that have legal significance for the qualification. These errors or abuses can be considered a violation of the principle of equality before the criminal law only if they discriminate against certain categories of subjects on certain grounds. Therefore, not any errors or abuses in qualifications can be considered a violation of the principle of equality before the criminal law, but only discriminatory. Such errors are unintentional. Instead, abuse is always intentional, often due to non-legal material factorsΠ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠ»ΡΡΠ΅Π½ ΡΡΠ΄ Π½Π°ΡΡΠ½ΡΡ
ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΠΉ, ΠΊΠΎΡΠΎΡΡΠ΅ ΠΈΠΌΠ΅ΡΡ Π²Π°ΠΆΠ½ΠΎΠ΅ Π·Π½Π°ΡΠ΅Π½ΠΈΠ΅ Π΄Π»Ρ ΠΏΡΠ°ΠΊΡΠΈΠΊΠΈ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΠΎΠ³ΠΎ Π·Π°ΠΊΠΎΠ½Π°. ΠΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π² Π½Π°ΡΡΠ½ΡΠ΅ ΡΠ°Π±ΠΎΡΡ ΠΏΠΎ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΠΌΠΎΠΌΡ Π²ΠΎΠΏΡΠΎΡΡ, Π±ΡΠ»ΠΎ Π΄ΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠΈΠ½ΡΠΈΠΏΠ° ΡΠ°Π²Π΅Π½ΡΡΠ²Π° ΡΠ²Π»ΡΠ΅ΡΡΡ Π°ΠΊΡΡΠ°Π»ΡΠ½ΡΠΌ, ΡΡΠΈΡΡΠ²Π°Ρ ΠΈΡΠΊΠ°ΠΆΠ΅Π½Π½ΠΎΠ΅ ΠΏΠΎΠ½ΠΈΠΌΠ°Π½ΠΈΠ΅ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΠΌΠΎΠ³ΠΎ ΠΏΡΠΈΠ½ΡΠΈΠΏΠ° Π² Π£ΠΊΡΠ°ΠΈΠ½Π΅. Π ΡΡΠ°ΡΡΠ΅ Π΄ΠΎΠΊΠ°Π·Π°Π½ΠΎ ΡΠ΅Π·ΠΈΡΡ ΠΎ ΡΠΎΠ»ΠΈ ΠΏΡΠΈΠ½ΡΠΈΠΏΠ° ΡΠ°Π²Π΅Π½ΡΡΠ²Π° ΠΏΠ΅ΡΠ΅Π΄ ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΡΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ ΠΏΡΠΈ ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²ΠΎΠΉ ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ. ΠΡ
ΠΌΠΎΠΆΠ½ΠΎ ΠΎΠΏΠΈΡΠ°ΡΡ ΡΠ»Π΅Π΄ΡΡΡΠΈΠΌΠΈ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡΠΌΠΈ: 1) ΡΠΎΠ±Π»ΡΠ΄Π΅Π½ΠΈΠ΅ ΠΏΡΠ°Π²ΠΈΠ» ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²ΠΎΠΉ ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π΄Π΅ΡΠ½ΠΈΡ ΠΈ ΠΏΡΠΈΠΌΠ΅Π½ΡΡΡ ΠΈΡ
Π² ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΈ Π»ΠΈΡ, Π½Π΅Π·Π°Π²ΠΈΡΠΈΠΌΠΎ ΠΎΡ ΠΈΡ
ΡΠ°ΡΠΎΠ²ΠΎΠ³ΠΎ, Π½Π°ΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠ³ΠΎ, ΡΠΎΡΠΈΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠΎΠΈΡΡ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ, ΡΠ΅Π»ΠΈΠ³ΠΈΠΎΠ·Π½ΠΎΠΉ ΠΏΡΠΈΠ½Π°Π΄Π»Π΅ΠΆΠ½ΠΎΡΡΠΈ, ΠΎΠ±ΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ
ΠΈΠ»ΠΈ ΠΏΠΎΠ»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π²Π·Π³Π»ΡΠ΄ΠΎΠ², ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΡΠ°ΡΡΡΠ° ΠΈ Ρ.Π΄.; 2) Π²ΠΌΠ΅ΡΡΠ΅ Ρ ΡΠ΅ΠΌ, ΠΏΡΠ°Π²ΠΎΠΏΡΠΈΠΌΠ΅Π½ΠΈΡΠ΅Π»ΡΠ½ΡΠΌ ΠΎΡΠ³Π°Π½Π°ΠΌ ΠΏΡΠΈ ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²ΠΎΠΉ ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎ ΡΡΠΈΡΡΠ²Π°ΡΡ ΠΊΠ°ΠΊ ΠΎΠ±ΡΠ΅ΠΊΡΠΈΠ²Π½ΡΠ΅, ΠΏΡΠ°Π²ΠΎΠ²ΡΠ΅ ΡΠ°Π·Π»ΠΈΡΠΈΡ Π»ΠΈΡ, Π΄Π΅ΠΉΡΡΠ²ΠΈΡ ΠΊΠΎΡΠΎΡΡΡ
ΠΊΠ²Π°Π»ΠΈΡΠΈΡΠΈΡΡΠ΅ΡΡΡ, ΡΠ°ΠΊ ΠΈ ΠΈΠ½Π΄ΠΈΠ²ΠΈΠ΄ΡΠ°Π»ΡΠ½ΡΠ΅ ΠΏΡΠΈΠ·Π½Π°ΠΊΠΈ ΡΠ°ΠΌΠΎΠ³ΠΎ Π΄Π΅ΡΠ½ΠΈΡ. Π’Π°ΠΊΠΎΠ΅ ΡΡΠ΅ΡΠ° ΠΎΠ±ΡΠ΅ΠΊΡΠΈΠ²Π½ΡΡ
ΡΠ°Π·Π»ΠΈΡΠΈΠΉ ΡΡΠ΅Π±ΡΠ΅Ρ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΡΠΎΠ²Π°Π½Π½Π°Ρ ΡΠ°Π²Π΅Π½ΡΡΠ²ΠΎ. ΠΠ°ΡΡΡΠ΅Π½ΠΈΠ΅ΠΌ ΠΏΡΠΈΠ½ΡΠΈΠΏΠ° ΡΠ°Π²Π΅Π½ΡΡΠ²Π° ΠΏΠ΅ΡΠ΅Π΄ ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΡΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ Π±ΡΠ΄ΡΡ ΠΎΡΠΈΠ±ΠΊΠΈ ΠΈΠ»ΠΈ Π·Π»ΠΎΡΠΏΠΎΡΡΠ΅Π±Π»Π΅Π½ΠΈΡ ΠΏΡΠ°Π²ΠΎΠΏΡΠΈΠΌΠ΅Π½ΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΎΡΠ³Π°Π½ΠΎΠ². Π’Π°ΠΊΠΈΠ΅ ΠΎΡΠΈΠ±ΠΊΠΈ ΠΈΠ»ΠΈ Π·Π»ΠΎΡΠΏΠΎΡΡΠ΅Π±Π»Π΅Π½ΠΈΡ Π±ΡΠ²Π°ΡΡ Π΄Π²ΡΡ
Π²ΠΈΠ΄ΠΎΠ²: 1) ΡΠ°Π·Π½Π°Ρ ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²Π°Ρ ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΡ Π΄Π΅ΡΠ½ΠΈΡ Π² ΡΠ»ΡΡΠ°Π΅ ΠΏΠΎΠ΄ΠΎΠ±Π½ΡΡ
ΡΡΠΈΠ΄ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ°ΡΠΈΠΉ; 2) ΠΎΠ΄ΠΈΠ½Π°ΠΊΠΎΠ²Π°Ρ ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²Π°Ρ ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΡ Π΄Π΅ΡΠ½ΠΈΡ Π² ΡΠ»ΡΡΠ°Π΅ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
ΡΡΠΈΠ΄ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ°ΡΠΈΠΉ; 3) ΠΈΠ³Π½ΠΎΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΡΠΈΠ·Π½Π°ΠΊΠΎΠ², ΠΈΠΌΠ΅ΡΡΠΈΡ
ΠΏΡΠ°Π²ΠΎΠ²ΠΎΠ΅ Π·Π½Π°ΡΠ΅Π½ΠΈΠ΅ Π΄Π»Ρ ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ. ΠΡΠΈ ΠΎΡΠΈΠ±ΠΊΠΈ ΠΈΠ»ΠΈ Π·Π»ΠΎΡΠΏΠΎΡΡΠ΅Π±Π»Π΅Π½ΠΈΡ ΠΌΠΎΠ³ΡΡ ΡΡΠΈΡΠ°ΡΡΡΡ Π½Π°ΡΡΡΠ΅Π½ΠΈΠ΅ΠΌ ΠΏΡΠΈΠ½ΡΠΈΠΏΠ° ΡΠ°Π²Π΅Π½ΡΡΠ²Π° ΠΏΠ΅ΡΠ΅Π΄ ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΡΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ ΡΠΎΠ»ΡΠΊΠΎ ΡΠΎΠ³Π΄Π°, ΠΊΠΎΠ³Π΄Π° ΠΎΠ½ΠΈ Π΄ΠΈΡΠΊΡΠΈΠΌΠΈΠ½ΠΈΡΡΡΡ ΠΎΡΠ΄Π΅Π»ΡΠ½ΡΠ΅ ΠΊΠ°ΡΠ΅Π³ΠΎΡΠΈΠΈ ΡΡΠ±ΡΠ΅ΠΊΡΠΎΠ² ΠΏΠΎ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΠΌ ΠΏΡΠΈΠ·Π½Π°ΠΊΠ°ΠΌ. ΠΠΎΡΡΠΎΠΌΡ, Π½Π΅ Π»ΡΠ±ΡΠ΅ ΠΎΡΠΈΠ±ΠΊΠΈ ΠΈΠ»ΠΈ Π·Π»ΠΎΡΠΏΠΎΡΡΠ΅Π±Π»Π΅Π½ΠΈΡ Π² ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΠΌΠΎΠ³ΡΡ ΡΡΠΈΡΠ°ΡΡΡΡ Π½Π°ΡΡΡΠ΅Π½ΠΈΠ΅ΠΌ ΠΏΡΠΈΠ½ΡΠΈΠΏΠ° ΡΠ°Π²Π΅Π½ΡΡΠ²Π° ΠΏΠ΅ΡΠ΅Π΄ ΡΠ³ΠΎΠ»ΠΎΠ²Π½ΡΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ, Π° Π»ΠΈΡΡ Π΄ΠΈΡΠΊΡΠΈΠΌΠΈΠ½ΠΈΡΡΡΡΠΈΠ΅. Π’Π°ΠΊΠΈΠ΅ ΠΎΡΠΈΠ±ΠΊΠΈ ΠΈΠΌΠ΅ΡΡ Π½Π΅ΠΏΡΠ΅Π΄Π½Π°ΠΌΠ΅ΡΠ΅Π½Π½ΡΠΉ Ρ
Π°ΡΠ°ΠΊΡΠ΅Ρ. ΠΠ°ΡΠΎ, Π·Π»ΠΎΡΠΏΠΎΡΡΠ΅Π±Π»Π΅Π½ΠΈΠ΅ Π²ΡΠ΅Π³Π΄Π° ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠΌΡΡΠ»Π΅Π½Π½ΡΠΌ, ΡΠ°ΡΡΠΎ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½ΠΎ Π½Π΅ΠΏΡΠ°Π²ΠΎΠ²ΡΠΌΠΈ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΡΠ½ΡΠΌΠΈ ΡΠ°ΠΊΡΠΎΡΠ°ΠΌΠΈΠ£ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Π½Ρ ΠΎΠ΄Π΅ΡΠΆΠ°Π½ΠΎ Π½ΠΈΠ·ΠΊΡ Π½Π°ΡΠΊΠΎΠ²ΠΈΡ
ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½Ρ, ΡΠΊΡ ΠΌΠ°ΡΡΡ Π²Π°ΠΆΠ»ΠΈΠ²Π΅ Π·Π½Π°ΡΠ΅Π½Π½Ρ Π΄Π»Ρ ΠΏΡΠ°ΠΊΡΠΈΠΊΠΈ Π·Π°ΡΡΠΎΡΡΠ²Π°Π½Π½Ρ ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΎΠ³ΠΎ Π·Π°ΠΊΠΎΠ½Ρ. ΠΡΠΎΠ°Π½Π°Π»ΡΠ·ΡΠ²Π°Π²ΡΠΈ Π½Π°ΡΠΊΠΎΠ²Ρ ΡΠΎΠ±ΠΎΡΠΈ ΡΠΎΠ΄ΠΎ ΡΠΎΠ·Π³Π»ΡΠ΄ΡΠ²Π°Π½ΠΎΠ³ΠΎ ΠΏΠΈΡΠ°Π½Π½Ρ, Π±ΡΠ»ΠΎ Π΄ΠΎΠ²Π΅Π΄Π΅Π½ΠΎ, ΡΠΎ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Π½Ρ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΡΡΠ²Π½ΠΎΡΡΡ Ρ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΈΠΌ Π· ΠΎΠ³Π»ΡΠ΄Ρ Π²ΠΈΠΊΡΠΈΠ²Π»Π΅Π½Π΅ ΡΠΎΠ·ΡΠΌΡΠ½Π½ΡΠΌ ΡΠΎΠ·Π³Π»ΡΠ΄ΡΠ²Π°Π½ΠΎΠ³ΠΎ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ Π² Π£ΠΊΡΠ°ΡΠ½Ρ. Π£ ΡΡΠ°ΡΡΡ Π΄ΠΎΠ²Π΅Π΄Π΅Π½ΠΎ ΡΠ΅Π·ΠΈ ΠΏΡΠΎ ΡΠΎΠ»Ρ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΡΡΠ²Π½ΠΎΡΡΡ ΠΏΠ΅ΡΠ΅Π΄ ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΈΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ ΠΏΡΠ΄ ΡΠ°Ρ ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²ΠΎΡ ΠΊΠ²Π°Π»ΡΡΡΠΊΠ°ΡΡΡ. ΠΡ
ΠΌΠΎΠΆΠ½Π° ΠΎΠΏΠΈΡΠ°ΡΠΈ ΡΠ°ΠΊΠΈΠΌΠΈ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½Π½ΡΠΌΠΈ: 1) Π΄ΠΎΡΡΠΈΠΌΠ°Π½Π½Ρ ΠΏΡΠ°Π²ΠΈΠ» ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²ΠΎΡ ΠΊΠ²Π°Π»ΡΡΡΠΊΠ°ΡΡΡ Π΄ΡΡΠ½Π½Ρ ΡΠ° Π·Π°ΡΡΠΎΡΠΎΠ²ΡΠ²Π°ΡΠΈ ΡΡ
ΡΠΎΠ΄ΠΎ ΠΎΡΡΠ±, Π½Π΅Π·Π°Π»Π΅ΠΆΠ½ΠΎ Π²ΡΠ΄ ΡΡ
ΡΠ°ΡΠΎΠ²ΠΎΠ³ΠΎ, Π½Π°ΡΡΠΎΠ½Π°Π»ΡΠ½ΠΎΠ³ΠΎ, ΡΠΎΡΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΡ
ΠΎΠ΄ΠΆΠ΅Π½Π½Ρ, ΡΠ΅Π»ΡΠ³ΡΠΉΠ½ΠΎΡ ΠΏΡΠΈΠ½Π°Π»Π΅ΠΆΠ½ΠΎΡΡΡ, ΡΡΡΠΏΡΠ»ΡΠ½ΠΈΡ
Π°Π±ΠΎ ΠΏΠΎΠ»ΡΡΠΈΡΠ½ΠΈΡ
ΠΏΠΎΠ³Π»ΡΠ΄ΡΠ², ΠΏΡΠΎΡΠ΅ΡΡΠΉΠ½ΠΎΠ³ΠΎ ΡΡΠ°ΡΡΡΡ ΡΠΎΡΠΎ; 2) ΡΠ°Π·ΠΎΠΌ Π· ΡΠΈΠΌ, ΠΏΡΠ°Π²ΠΎΠ·Π°ΡΡΠΎΡΠΎΠ²Π½ΠΈΠΌ ΠΎΡΠ³Π°Π½Π°ΠΌ ΠΏΡΠ΄ ΡΠ°Ρ ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²ΠΎΡ ΠΊΠ²Π°Π»ΡΡΡΠΊΠ°ΡΡΡ Π½Π΅ΠΎΠ±Ρ
ΡΠ΄Π½ΠΎ Π²ΡΠ°Ρ
ΠΎΠ²ΡΠ²Π°ΡΠΈ ΡΠΊ ΠΎΠ±βΡΠΊΡΠΈΠ²Π½Ρ, ΠΏΡΠ°Π²ΠΎΠ²Ρ Π²ΡΠ΄ΠΌΡΠ½Π½ΠΎΡΡΡ ΠΎΡΡΠ±, Π΄ΡΡΠ½Π½Ρ ΡΠΊΠΈΡ
ΠΊΠ²Π°Π»ΡΡΡΠΊΡΡΡΡΡΡ, ΡΠ°ΠΊ ΠΉ ΡΠ½Π΄ΠΈΠ²ΡΠ΄ΡΠ°Π»ΡΠ½Ρ ΠΎΠ·Π½Π°ΠΊΠΈ ΡΠ°ΠΌΠΎΠ³ΠΎ Π΄ΡΡΠ½Π½Ρ. Π’Π°ΠΊΠ΅ Π²ΡΠ°Ρ
ΡΠ²Π°Π½Π½Ρ ΠΎΠ±βΡΠΊΡΠΈΠ²Π½ΠΈΡ
Π²ΡΠ΄ΠΌΡΠ½Π½ΠΎΡΡΠ΅ΠΉ Π²ΠΈΠΌΠ°Π³Π°Ρ Π΄ΠΈΡΠ΅ΡΠ΅Π½ΡΡΠΉΠΎΠ²Π°Π½Π° ΡΡΠ²Π½ΡΡΡΡ. ΠΠΎΡΡΡΠ΅Π½Π½ΡΠΌ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΡΡΠ²Π½ΠΎΡΡΡ ΠΏΠ΅ΡΠ΅Π΄ ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΈΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ Π±ΡΠ΄ΡΡΡ ΠΏΠΎΠΌΠΈΠ»ΠΊΠΈ Π°Π±ΠΎ Π·Π»ΠΎΠ²ΠΆΠΈΠ²Π°Π½Π½Ρ ΠΏΡΠ°Π²ΠΎΠ·Π°ΡΡΠΎΡΠΎΠ²Π½ΠΈΡ
ΠΎΡΠ³Π°Π½ΡΠ². Π’Π°ΠΊΡ ΠΏΠΎΠΌΠΈΠ»ΠΊΠΈ Π°Π±ΠΎ Π·Π»ΠΎΠ²ΠΆΠΈΠ²Π°Π½Π½Ρ Π±ΡΠ²Π°ΡΡΡ Π΄Π²ΠΎΡ
Π²ΠΈΠ΄ΡΠ²: 1) ΡΡΠ·Π½Π° ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²Π° ΠΊΠ²Π°Π»ΡΡΡΠΊΠ°ΡΡΡ Π΄ΡΡΠ½Π½Ρ Ρ Π²ΠΈΠΏΠ°Π΄ΠΊΡ ΠΏΠΎΠ΄ΡΠ±Π½ΠΈΡ
ΡΡΠΈΠ΄ΠΈΡΠ½ΠΈΡ
ΡΠΈΡΡΠ°ΡΡΠΉ; 2) ΠΎΠ΄Π½Π°ΠΊΠΎΠ²Π° ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΎ-ΠΏΡΠ°Π²ΠΎΠ²Π° ΠΊΠ²Π°Π»ΡΡΡΠΊΠ°ΡΡΡ Π΄ΡΡΠ½Π½Ρ Ρ Π²ΠΈΠΏΠ°Π΄ΠΊΡ ΡΡΠ·Π½ΠΈΡ
ΡΡΠΈΠ΄ΠΈΡΠ½ΠΈΡ
ΡΠΈΡΡΠ°ΡΡΠΉ; 3) ΡΠ³Π½ΠΎΡΡΠ²Π°Π½Π½Ρ ΠΎΠ·Π½Π°ΠΊ, ΡΠΊΡ ΠΌΠ°ΡΡΡ ΠΏΡΠ°Π²ΠΎΠ²Π΅ Π·Π½Π°ΡΠ΅Π½Π½Ρ Π΄Π»Ρ ΠΊΠ²Π°Π»ΡΡΡΠΊΠ°ΡΡΡ. Π¦Ρ ΠΏΠΎΠΌΠΈΠ»ΠΊΠΈ Π°Π±ΠΎ Π·Π»ΠΎΠ²ΠΆΠΈΠ²Π°Π½Π½Ρ ΠΌΠΎΠΆΡΡΡ Π²Π²Π°ΠΆΠ°ΡΠΈΡΡ ΠΏΠΎΡΡΡΠ΅Π½Π½ΡΠΌ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΡΡΠ²Π½ΠΎΡΡΡ ΠΏΠ΅ΡΠ΅Π΄ ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΈΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ Π»ΠΈΡΠ΅ ΡΠΎΠ΄Ρ, ΠΊΠΎΠ»ΠΈ Π²ΠΎΠ½ΠΈ Π΄ΠΈΡΠΊΡΠΈΠΌΡΠ½ΡΡΡΡ ΠΎΠΊΡΠ΅ΠΌΡ ΠΊΠ°ΡΠ΅Π³ΠΎΡΡΡ ΡΡΠ±βΡΠΊΡΡΠ² Π·Π° ΠΏΠ΅Π²Π½ΠΈΠΌΠΈ ΠΎΠ·Π½Π°ΠΊΠ°ΠΌΠΈ. Π’ΠΎΠΌΡ, Π½Π΅ Π±ΡΠ΄Ρ-ΡΠΊΡ ΠΏΠΎΠΌΠΈΠ»ΠΊΠΈ Π°Π±ΠΎ Π·Π»ΠΎΠ²ΠΆΠΈΠ²Π°Π½Π½Ρ Ρ ΠΊΠ²Π°Π»ΡΡΡΠΊΠ°ΡΡΡ ΠΌΠΎΠΆΡΡΡ Π²Π²Π°ΠΆΠ°ΡΠΈΡΡ ΠΏΠΎΡΡΡΠ΅Π½Π½ΡΠΌ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΡΡΠ²Π½ΠΎΡΡΡ ΠΏΠ΅ΡΠ΅Π΄ ΠΊΡΠΈΠΌΡΠ½Π°Π»ΡΠ½ΠΈΠΌ Π·Π°ΠΊΠΎΠ½ΠΎΠΌ, Π° Π»ΠΈΡΠ΅ Π΄ΠΈΡΠΊΡΠΈΠΌΡΠ½ΡΡΡΡ. Π’Π°ΠΊΡ ΠΏΠΎΠΌΠΈΠ»ΠΊΠΈ ΠΌΠ°ΡΡΡ Π½Π΅Π½Π°Π²ΠΌΠΈΡΠ½ΠΈΠΉ Ρ
Π°ΡΠ°ΠΊΡΠ΅Ρ. ΠΠ°ΡΠΎΠΌΡΡΡΡ, Π·Π»ΠΎΠ²ΠΆΠΈΠ²Π°Π½Π½Ρ Π·Π°Π²ΠΆΠ΄ΠΈ Ρ ΡΠΌΠΈΡΠ½ΠΈΠΌ, ΡΠ°ΡΡΠΎ Π·ΡΠΌΠΎΠ²Π»Π΅Π½Π΅ Π½Π΅ΠΏΡΠ°Π²ΠΎΠ²ΠΈΠΌΠΈ ΠΌΠ°ΡΠ΅ΡΡΠ°Π»ΡΠ½ΠΈΠΌΠΈ ΡΠΈΠ½Π½ΠΈΠΊΠ°ΠΌ
Stochastic approximate state conversion for entanglement and general quantum resource theories
Quantum resource theories provide a mathematically rigorous way of
understanding the nature of various quantum resources. An important problem in
any quantum resource theory is to determine how quantum states can be converted
into each other within the physical constraints of the theory. The standard
approach to this problem is to study approximate or probabilistic
transformations. Very few results have been presented on the intermediate
regime between probabilistic and approximate transformations. Here, we
investigate this intermediate regime, providing limits on both, the fidelity
and the probability of state transitions. We derive limitations on the
transformations, which are valid in all quantum resource theories, by providing
bounds on the maximal transformation fidelity for a given transformation
probability. We also show that the deterministic version of this bound can be
applied for drawing limitations on the manipulation of quantum channels, which
goes beyond the previously known bounds of channel manipulations. As an
application, we show that the fidelity between Popescu-Rohrlich box and an
isotropic box cannot increase via any locality preserving superchannel.
Furthermore, we completely solve the question of stochastic-approximate state
transformations via local operations and classical communications in the case
of pure bipartite entangled state transformations of arbitrary dimensions and
two-qubit entanglement for arbitrary final states, when starting from a pure
bipartite state.Comment: 6+9 pages, 2 figures, significantly changed, new results adde
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