scholarly journals Holographic quantum tasks with input and output regions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alex May

Abstract Quantum tasks are quantum computations with inputs and outputs occurring at specified spacetime locations. Considering such tasks in the context of AdS/CFT has led to novel constraints relating bulk geometry and boundary entanglement. In this article we consider tasks where inputs and outputs are encoded into extended spacetime regions, rather than the points previously considered. We show that this leads to stronger constraints than have been derived in the point based setting. In particular we improve the connected wedge theorem, appearing earlier in arXiv:1912.05649, by finding a larger bulk region whose existence implies large boundary correlation. As well, we show how considering extended input and output regions leads to non-trivial statements in Poincaré-AdS2+1, a setting where the point-based connected wedge theorem is always trivial.

Author(s):  
Salil Harris ◽  
Aniruddha Sinha ◽  
Sudarshan Kumar

Abstract Gas turbine combustors employing lean premixed combustion are prone to combustion instability. Combustion instability, if unchecked, will have deleterious effects to the combustor and hence needs to be controlled. Active control methods are preferred to obtain better off-design performance. The effectiveness of active control methods is dependent on the quality of controller which in-turn depends on the quality of model. In the present work, an input-output model structure, where the output of the system at the current instant is modelled as a nonlinear function of delayed inputs and outputs is chosen. As there are infinite possibilities for representation of nonlinear functions, all parameters in the model structure like time delay between input and output, number of delayed input and output terms and the appropriate form of nonlinear function can be obtained only iteratively. However, prior knowledge of delay and number of delayed inputs and outputs reduces the computational intensity. To this end, the present work utilizes the method of Lipschitz indices to obtain the number of delayed inputs and outputs.


1975 ◽  
Vol 7 (03) ◽  
pp. 576-592 ◽  
Author(s):  
Bent Natvig

The steady-state input and output processes are considered for a birth-and-death queueing model with N waiting positions (0 ≦ N ≦ ∞), s servers (1 ≦ s ≦ ∞) and an arbitrary queueing discipline. Let an index n indicate that the quantity in question depends on the system state but not on time t. The instantaneous arrival rate is λ, the probability of balking (i.e., not trying to obtain service) being ξ n. The instantaneous departure rate, μn , of customers having joined the system is the sum of the rate of service completions and the rate of defections before service completion. Three cases are considered. We start by ignoring balking customers; in the first case treating a lost customer neither as an input nor as an output, then secondly as both. Finally, balking and lost customers are considered both as inputs and outputs.


Author(s):  
somayeh khezri ◽  
Akram Dehnokhalaji ◽  
Farhad Hosseinzadeh Lotfi

One of interesting subjects in Data Envelopment Analysis (DEA) is estimation of congestion of Decision Making Units (DMUs). Congestion is evidenced when decreases (increases) in some inputs re- sult in increases (decreases) in some outputs without worsening (im- proving) any other input/output. Most of the existing methods for measuring the congestion of DMUs utilize the traditional de nition of congestion and assume that inputs and outputs change with the same proportion. Therefore, the important question that arises is whether congestion will occur or not if the decision maker (DM) increases or de- creases the inputs dis-proportionally. This means that, the traditional de nition of congestion in DEA may be unable to measure the con- gestion of units with multiple inputs and outputs. This paper focuses on the directional congestion and proposes methods for recognizing the directional congestion using DEA models. To do this, we consider two di erent scenarios: (i) just the input direction is available. (ii) none of the input and output directions are available. For each scenario, we propose a method consists in systems of inequalities or linear pro- gramming problems for estimation of the directional congestion. The validity of the proposed methods are demonstrated utilizing two nu- merical examples.


Author(s):  
Takeshi Sugawara

Threshold implementation is studied as a countermeasure against sidechannel attack. There had been no threshold implementation for the AES and Keccak S-boxes that satisfies an important property called uniformity. In the conventional implementations, intermediate values are remasked to compensate for the lack of uniformity. The remasking consumes thousands of fresh random bits and its implementation cost is a serious concern. Daemen recently proposed a 3-share uniform threshold implementation of the Keccak S-box. This is enabled by a new technique called the changing of the guards which can be applied to any invertible functions. Subsequently, Wegener et al. proposed a 4-share threshold implementation of the AES S-box based on the changing of the guards technique. However, a 3-share threshold implementation of AES S-box remains open. The difficulty stays in 2-input multiplication, used in decomposed S-box representations, which is non-invertible because of different input and output sizes. In this study, this problem is addressed by introducing a certain generalization of the changing of the guards technique. The proposed method provides a generic way to construct a uniform sharing for a target function having different input and output sizes. The key idea is to transform a target function into an invertible one by adding additional inputs and outputs. Based on the proposed technique, the first 3-share threshold implementation of AES S-box without fresh randomness is presented. Performance evaluation and simulation-based leakage assessment of the implementation are also presented.


Author(s):  
NI MADE METRI WIDHYAPURI ◽  
MADE ANTARA ◽  
IDA AYU LISTIA DEWI

The Comparative and Competitive Advantages of Arabica Coffee (Coffea arabica) Commodity in Ulian Village, Kintamani Sub-District of Bangli Regency The study aimed to analyze the comparative and competitive advantages and the divergence of input and output of arabica coffee commodity, to find out the government protection policy against inputs and outputs; and to investigate the impact of changes in input and output prices on profits, comparative advantages, competitive advantages, divergence, and government protection against inputs and outputs. Methods of data collection was interview and observation. The respondents were 38 farmers in Ulian Village, Kintamani, Bangli and selected by random sampling. Data analysis used Policy Analysis Matrix and sensitivity analysis. The result of analysis by using Policy Analysis Matrix showed that the social profit was Rp 47.953.373 and private profit of Rp 33.202.446. The superiority of arabica coffee commodity in Ulian Village consists of comparative and competitive advantages expressed in DRC ratio of 0.23 and PCR ratio of 0.29. The divergence of input and output consists of divergence of revenue of Rp15,734,996, tradable input divergence was Rp 0, domestic factor divergence was Rp. 994,070, and divergence of net profit of Rp 14,750,927. Government protection was expressed in NPCO ratio of 0.75, EPC ratio of 0.75, PC ratio of 0.69, and SRP ratio of -0.24. These ratios indicate that arabica coffee farmers in Ulian Village, Kintamani, Bangli have no protection from the government. Changes in input and output prices during inflation were at 3.02 percent, an increase in input prices by 10 percent and a fall in the price of output by 50 percent resulted in arabica coffee commodities in Ulian Village, Kintamani, Bangli to have comparative and competitive advantages. There is no government protection on arabica coffee farmers in Ulian Village, Kintamani Sub-District of Bangli Regency when input and output prices changed.


2021 ◽  
Vol 40 (1) ◽  
pp. 591-603
Author(s):  
Zahra Shiri Daryani ◽  
Ghasem Tohidi ◽  
Behrouz Daneshian ◽  
Shabnam Razavyan ◽  
Farhad Hosseinzadeh Lotfi

Inputs and outputs of Decision Making Units (DMUs) are estimated by the Inverse Data Envelopment Analysis (InvDEA) models, while their relative efficiency scores remain unchanged. But, in some cases, cost/price information of the inputs and outputs are available. This paper employs the input and output cost/price information, including the generalized InvDEA concept in two-stage structures. To this end, it proposes a four-stage method to deal with the InvDEA concept, for estimating the inputs and outputs of the DMUs with a two-stage network structure method, while the allocative efficiency scores of all the units remain stable. Eventually, an empirical example is rendered to illustrate the competence of the method which is presented.


Author(s):  
Deepak Mahla ◽  
Shivi Agarwal ◽  
Trilok Mathur

The slack-based measure (SBM) DEA model is a non-radial model used to calculate the relative efficiency, input, and output targets of the different decision-making units (DMUs) based on their best peers or efficient frontier. The conventional SBM DEA model used crisp inputs and outputs. But, it can be observed in real-life problems that sometimes the available data is in linguistic forms such as ‘few,’ ‘many,’ ‘small,’ or missing data. The DEA technique is frontier based, and therefore, imprecise data may lead to untenable results. Fuzzy theory, which is already established to handle uncertain data, can overcome this problem. Furthermore, the sensitivity and stability analysis have been checked the robustness of fuzzy DEA models. In this study, sensitivity and stability analysis of the fuzzy SBM DEA has been performed. The lower and upper sensitive bounds for inputs and outputs variables have been obtained for both the inefficient and efficient DMUs to calculate the input and output targets. Finally, a real-life transportation problem for the validity of the study is presented for its depiction.


Author(s):  
Ciaran Hughes ◽  
Joshua Isaacson ◽  
Anastasia Perry ◽  
Ranbel F. Sun ◽  
Jessica Turner

AbstractWe have come a long way from Chap. 10.1007/978-3-030-61601-4_1 To recap on what we have learnt, we have understood important quantum mechanical phenomena such as superposition and measurement (through the Stern-Gerlach and Mach-Zehnder experiments). We have also learnt that while quantum computers can in principle break classical encryption protocols, they can also be used to make new secure channels of communication. Furthermore, we have applied quantum logic gates to qubits to perform quantum computations. With entanglement, we teleported the information in an unknown qubit to another qubit. This is quite a substantial achievement.


1975 ◽  
Vol 7 (3) ◽  
pp. 576-592 ◽  
Author(s):  
Bent Natvig

The steady-state input and output processes are considered for a birth-and-death queueing model with N waiting positions (0 ≦ N ≦ ∞), s servers (1 ≦ s ≦ ∞) and an arbitrary queueing discipline. Let an index n indicate that the quantity in question depends on the system state but not on time t. The instantaneous arrival rate is λ, the probability of balking (i.e., not trying to obtain service) being ξn. The instantaneous departure rate, μn, of customers having joined the system is the sum of the rate of service completions and the rate of defections before service completion. Three cases are considered. We start by ignoring balking customers; in the first case treating a lost customer neither as an input nor as an output, then secondly as both. Finally, balking and lost customers are considered both as inputs and outputs.


2015 ◽  
Vol 15 (4) ◽  
pp. 27-41
Author(s):  
Changyou Zheng ◽  
Yi Yao ◽  
Song Huang ◽  
Zhengping Ren

Abstract Workflow systems are widely used in our daily life so that the validity, dependability and security with which they need to be assured are important. However, existing researches mainly focus on correctness validation, performance analysis and assignment scheduling, but the testing methods have been seldom suited. In this paper a formalized definition of workflows constrained by an input and output is presented, and based on that, a Petri Net-based model (I/O_WF_Net) is proposed. In I/O_WF_Net, the activities of the workflow can be modeled as transitions of a Petri Net, and the inputs and outputs of an activity can be modeled as places. After the modeling method for I/O constrained workflow net into the I/O_WF_Net model is described, the corresponding transforming algorithm and its simplifying method are given.


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